What is the solution of the equation −4(z + 12) = 36

Question

when solving for z
? (1 point)
Responses

21
21

−21
negative 21

−6
negative 6

24

Answer 1

To find the solution for the equation \( -4(z + 12) = 36 \), follow these steps:

1. Distribute the -4: \[ -4z - 48 = 36 \]

2. Add 48 to both sides of the equation: \[ -4z = 36 + 48 \] \[ -4z = 84 \]

3. Divide both sides by -4: \[ z = \frac{84}{-4} \] \[ z = -21 \]

Thus, the solution for \( z \) is \( \boxed{-21} \).