To solve the equation −4(z + 12) = 36 for z, we can start by distributing -4 to z + 12:
-4z - 48 = 36
Next, we can add 48 to both sides of the equation to isolate the -4z term:
-4z = 84
Dividing both sides of the equation by -4 gives us:
z = -21
Therefore, the solution to the equation is z = -21.
The correct answer is C. -21