3(3z-2)-3(2-2z)=6

Solution for 3(3z-2)-3(2-2z)=6 equation:

Simplifying
3(3z + -2) + -3(2 + -2z) = 6

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

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

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

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

Solving
-12 + 15z = 6

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 = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 15z = 6 + 12
15z = 6 + 12

Combine like terms: 6 + 12 = 18
15z = 18

Divide each side by '15'.
z = 1.2

Simplifying
z = 1.2