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 for z, we can start by distributing the -4 to the terms inside the parentheses:

-4z - 48 = 36

Next, we can isolate the variable z by adding 48 to both sides of the equation:

-4z - 48 + 48 = 36 + 48

-4z = 84

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

-4z / -4 = 84 / -4

z = -21

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