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

Answer 1

To solve the equation -4(z + 12) = 36, we can start by distributing -4 to the terms inside the parentheses:

-4(z + 12) = 36
-4z - 48 = 36

To isolate -4z, we can add 48 to both sides:

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

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

-4z/(-4) = 84/(-4)
z = -21

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