3(2z+2)-9=33

Solution for 3(2z+2)-9=33 equation:

Simplifying
3(2z + 2) + -9 = 33

Reorder the terms:
3(2 + 2z) + -9 = 33
(2 * 3 + 2z * 3) + -9 = 33
(6 + 6z) + -9 = 33

Reorder the terms:
6 + -9 + 6z = 33

Combine like terms: 6 + -9 = -3
-3 + 6z = 33

Solving
-3 + 6z = 33

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 6z = 33 + 3

Combine like terms: -3 + 3 = 0
0 + 6z = 33 + 3
6z = 33 + 3

Combine like terms: 33 + 3 = 36
6z = 36

Divide each side by '6'.
z = 6

Simplifying
z = 6