What is the solution of the equation −4(z + 12) = 36 when solving for z?

A.−6
B.21
C.-21
D.24

1 answer

To solve the equation −4(z + 12) = 36 for z, we can start by distributing -4 to z + 12:

-4z - 48 = 36

Next, we can add 48 to both sides of the equation to isolate the -4z term:

-4z = 84

Dividing both sides of the equation by -4 gives us:

z = -21

Therefore, the solution to the equation is z = -21.

The correct answer is C. -21