What is the solution of the equation −4(z + 12) = 36 when solving for z ? (1 point)

Question

Responses

−21
negative 21

24
24

−6
negative 6

21

Answer 1

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

1. Divide both sides by -4 to isolate the expression inside the parentheses:

   \[ z + 12 = \frac{36}{-4} \]

   \[ z + 12 = -9 \]

2. Subtract 12 from both sides:

   \[ z = -9 - 12 \]

   \[ z = -21 \]

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

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