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

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

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

Combine like terms: -6z + -3z = -9z
1 = 6 + -9z

Solving
1 = 6 + -9z

Solving for variable 'z'.

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

Add '9z' to each side of the equation.
1 + 9z = 6 + -9z + 9z

Combine like terms: -9z + 9z = 0
1 + 9z = 6 + 0
1 + 9z = 6

Add '-1' to each side of the equation.
1 + -1 + 9z = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 9z = 6 + -1
9z = 6 + -1

Combine like terms: 6 + -1 = 5
9z = 5

Divide each side by '9'.
z = 0.5555555556

Simplifying
z = 0.5555555556