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

21

-21

24

-6

1 answer

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

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

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

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

So, the correct answer is \(-21\).