-2(z+3)-z=-z-4(z+2)
solve for z quickly please! will give brainliest

Answer:

[tex] \sf z = - \dfrac{2}{3} [/tex]

Step-by-step explanation:

Solve for z:

[tex] \longrightarrow [/tex] -2(z + 3) = -z - 4(z + 2)

-4(z + 2) = -4z - 8:

[tex] \longrightarrow [/tex] -2(z + 3) = -z -4z - 8

Grouping like terms, -z - 4z - 8 = (-z - 4z) - 8:

[tex] \longrightarrow [/tex] -2(z + 3) = (-z - 4z) - 8

-z - 4z = -5z:

[tex] \longrightarrow [/tex] -2 (z + 3) = -5z - 8

Expand out terms of the left hand side:

[tex] \longrightarrow [/tex] -2z - 6 = -5 z - 8

Add 5z to both sides:

[tex] \longrightarrow [/tex] (5z - 2z) - 6 = (5z - 5z) - 8

5z - 5z = 0:

[tex] \longrightarrow [/tex] (5z - 2z) - 6 = -8

5z - 2z = 3z:

[tex] \longrightarrow [/tex] 3z - 6 = -8

Add 6 to both sides:

[tex] \longrightarrow [/tex] 3z + (6 - 6) = 6 - 8

6 - 6 = 0:

[tex] \longrightarrow [/tex] 3z = 6 - 8

6 - 8 = -2:

[tex] \longrightarrow [/tex] 3z = -2

Divide both sides of 3z = -2 by 3:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}z = - \dfrac{2}{3} [/tex]

[tex] \sf \dfrac{3}{3} = 1 :[/tex]

[tex] \longrightarrow [/tex] [tex] \sf z = - \dfrac{2}{3} [/tex]

I don’t understand how to do this question please help and explain thank you!

............./..........................///

i need help plz and thank you

Joshua paid a mechanic x dollars per hour for a 6-hour job plus $90 for parts. The total charge was $360.

Which equation can be used to determine how much the mechanic charged per hour?




6x = 360 + 90


6x = 360 − 90


(90 + 6)x = 360


(90 − 5)x = 360

Which situation could be represented by the equation 38.25 = 3x?

A. A group of 3 friends had $38.25 all together. Each friend had the same amount of money. What is x, the amount of money each friend had?

B. A group of friends had $38.25. They decided to triple their money by working for a neighbor. What is x, the total amount of money the friends had all together after working for a neighbor?

C. A group of friends had $38.25. They earned $3 more. What is x, the amount of money the friends have all together?

D. A group of 3 friends each had $38.25. What is x, the total amount of money the friends had all together?

Which equations are true? Select all that apply. A. 32 . 6 × 10 2 = 3 , 260 B. 32 . 6 × 0 . 01 = 0 . 326 C. 3 . 26 × 10 1 = 0 . 326 D. 326 × 0 . 1 = 3 . 26

Samantha and Corey are on a road trip. The first day, they drive 318 miles in 6 hours. What is their speed in miles per hour?

5/ 2 x ≤ -14

A. -10.3
B. -6
C. -5.6
D. -5
Which of these does not make the inequality true?

heeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllpppppppppppppppppppppppppppppppppp

Which division problem does the number line below best illustrate?

A number line going from 0 to 2 in increments of 0.2.

1. 2 divided by one-fifth = 10
2. 1 divided by one-fifth = 10
3. 2 divided by one-tenth = 5
4. 1 divided by one-tenth = 5

I need help!!!!!
Help Needed!!!!!!!!!!!

I need help ASAP
plz plz plz plz plz plz plz plz

Jason has 4 tiles. Each tile has a number printed on it. The numbers are 2, 3, 6, and 8. A decimal number is formed using the tiles and the clues. Find the number. Clues: 1. The digit in the tens place is the greatest number. 2. The digit in the tenths place is less than the digit in the hundredths place. 3. The digit in the ones place is greater than the digit in the hundredths place.

Which comparison is not correct?

A. -2 > -7

B. 1 -8
c. -3 > -8
D. 6 > 5

1. How are pounds per gallon and kilograms per liter alike? How are they different?
2. How would you convert 10 miles per hour to meters per second?
3. 12 inches =_____foot; the ratio of inches to feet is_____
4. 1 foot =_____ inches; the ratio of feet to inches is_____
5. 3 feet =_____yard; the ratio of feet to yards is_____
6. 1 yard =_____feet; the ratio of yards to feet is_____

To celebrate getting a new car, Johnny went out to eat with 3 friends. Their meal, including tax, was $75. If they left a 15% tip, what is the cost of their total bill with the tip included?

What is the radius and diameter of the following circle? 13cm

The table of values below represents a linear function. Which of these points could also be an ordered pair in the table and why?
A. (18,27), because the rate of change of the function is 3/4
B. (18,27), because the rate of change of the function is 4/3
C. (27,18), because the rate of change of the function is 3/4
D. (27,18), because the rate of change of the function is 4/3

The coordinates of a point on a coordinate grid are (−1, 5). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are (1, −5) (−1, 5) (1, 5) (−1, −5)

21. Melanie is making homemade stickers, She uses
the recipe shown to create the glue for the stickers
reasonable estimate for the number of batches she
a. She has 545 milliliters of vinegar. Which is a more
can make,5 or 7? Explain your answer.

About how many times as many milliliters of vinegar are needed than
lemon extract?​
(brainliest included for correct answer if not report)

Answer for 12 points please?

:PHOTO: I NEED HELP ASAP

help please !! thank u

A 24 ounce bag of dog food sells for $7.68. What is the unit rate of the dog food?

write one-hundred thousand (100,000) in scientific notation

How many millimeters are in 3.2 centimeters?
.32
320
32 mm
3.2
22.
If there are 10 millimeters for every 1 centimeter, what fraction of a centimeter is a millimeter?
2.54
1/10
10
2.45

HELPPPP PLS LOOK AT THE PICTURE

pleaseee i need helpp xx

What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)

Number line from negative 8 to positive 10 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the third tick mark to the left of 0.

Numerical Answers Expected!

Answer for Blank 1:
Sorry idk how to upload a pic. Please help me out

What is the GCF of 32a^3 b and 16ab^2?