What is the solution of the equation −4(z + 12) = 36 when solving for z%0D%0A%0D%0A?

Answer 1

To solve the equation −4(z + 12) = 36 for z, we must isolate the variable z.

First, we can distribute the -4 to both terms inside the parentheses:

-4z - 48 = 36

Next, we can add 48 to both sides of the equation to eliminate the -48 on the left side:

-4z = 36 + 48
-4z = 84

Finally, we can divide both sides of the equation by -4 to solve for z:

z = 84 / -4
z = -21

Therefore, the solution to the equation −4(z + 12) = 36 is z = -21.