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

Question

when solving for z
? (1 point)
Responses

−21
negative 21

24
24

−6
negative 6

21

Answer 1

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

1. Start with the given equation: \[ -4(z + 12) = 36 \]

2. Divide both sides by -4 to isolate the expression inside the parentheses: \[ z + 12 = \frac{36}{-4} \] \[ z + 12 = -9 \]

3. Next, subtract 12 from both sides to solve for \( z \): \[ z = -9 - 12 \] \[ z = -21 \]

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

The correct response is: −21 (negative 21).