3(2-2z)=1-z

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

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

Solving
6 + -6z = 1 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
6 + -6z + z = 1 + -1z + z

Combine like terms: -6z + z = -5z
6 + -5z = 1 + -1z + z

Combine like terms: -1z + z = 0
6 + -5z = 1 + 0
6 + -5z = 1

Add '-6' to each side of the equation.
6 + -6 + -5z = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5z = 1 + -6
-5z = 1 + -6

Combine like terms: 1 + -6 = -5
-5z = -5

Divide each side by '-5'.
z = 1

Simplifying
z = 1