3(2z-2)-3(4-2z)=3

Solution for 3(2z-2)-3(4-2z)=3 equation:

Simplifying
3(2z + -2) + -3(4 + -2z) = 3

Reorder the terms:
3(-2 + 2z) + -3(4 + -2z) = 3
(-2 * 3 + 2z * 3) + -3(4 + -2z) = 3
(-6 + 6z) + -3(4 + -2z) = 3
-6 + 6z + (4 * -3 + -2z * -3) = 3
-6 + 6z + (-12 + 6z) = 3

Reorder the terms:
-6 + -12 + 6z + 6z = 3

Combine like terms: -6 + -12 = -18
-18 + 6z + 6z = 3

Combine like terms: 6z + 6z = 12z
-18 + 12z = 3

Solving
-18 + 12z = 3

Solving for variable 'z'.

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

Add '18' to each side of the equation.
-18 + 18 + 12z = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 12z = 3 + 18
12z = 3 + 18

Combine like terms: 3 + 18 = 21
12z = 21

Divide each side by '12'.
z = 1.75

Simplifying
z = 1.75