3(2z-1)-3(2-2z)=6

Solution for 3(2z-1)-3(2-2z)=6 equation:

Simplifying
3(2z + -1) + -3(2 + -2z) = 6

Reorder the terms:
3(-1 + 2z) + -3(2 + -2z) = 6
(-1 * 3 + 2z * 3) + -3(2 + -2z) = 6
(-3 + 6z) + -3(2 + -2z) = 6
-3 + 6z + (2 * -3 + -2z * -3) = 6
-3 + 6z + (-6 + 6z) = 6

Reorder the terms:
-3 + -6 + 6z + 6z = 6

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

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

Solving
-9 + 12z = 6

Solving for variable 'z'.

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

Add '9' to each side of the equation.
-9 + 9 + 12z = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 12z = 6 + 9
12z = 6 + 9

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

Divide each side by '12'.
z = 1.25

Simplifying
z = 1.25