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

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

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

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

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

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

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

Solving
-15 + 12z = 6

Solving for variable 'z'.

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

Add '15' to each side of the equation.
-15 + 15 + 12z = 6 + 15

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

Combine like terms: 6 + 15 = 21
12z = 21

Divide each side by '12'.
z = 1.75

Simplifying
z = 1.75