3(2z-2)-3(2-3z)=12

Solution for 3(2z-2)-3(2-3z)=12 equation:

Simplifying
3(2z + -2) + -3(2 + -3z) = 12

Reorder the terms:
3(-2 + 2z) + -3(2 + -3z) = 12
(-2 * 3 + 2z * 3) + -3(2 + -3z) = 12
(-6 + 6z) + -3(2 + -3z) = 12
-6 + 6z + (2 * -3 + -3z * -3) = 12
-6 + 6z + (-6 + 9z) = 12

Reorder the terms:
-6 + -6 + 6z + 9z = 12

Combine like terms: -6 + -6 = -12
-12 + 6z + 9z = 12

Combine like terms: 6z + 9z = 15z
-12 + 15z = 12

Solving
-12 + 15z = 12

Solving for variable 'z'.

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

Add '12' to each side of the equation.
-12 + 12 + 15z = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 15z = 12 + 12
15z = 12 + 12

Combine like terms: 12 + 12 = 24
15z = 24

Divide each side by '15'.
z = 1.6

Simplifying
z = 1.6