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

Question

when solving for z
? (1 point)
Responses

21
21

−21
negative 21

24
24

−6
negative 6

Answer 1

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

1. Divide both sides by -4: \[ z + 12 = \frac{36}{-4} \] \[ z + 12 = -9 \]

2. Subtract 12 from both sides: \[ z = -9 - 12 \] \[ z = -21 \]

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

The correct response is: −21 (negative 21)