3(42-3)-3(3-3z)=6

Solution for 3(42-3)-3(3-3z)=6 equation:

Simplifying
3(42 + -3) + -3(3 + -3z) = 6

Combine like terms: 42 + -3 = 39
3(39) + -3(3 + -3z) = 6

Multiply 3 * 39
117 + -3(3 + -3z) = 6
117 + (3 * -3 + -3z * -3) = 6
117 + (-9 + 9z) = 6

Combine like terms: 117 + -9 = 108
108 + 9z = 6

Solving
108 + 9z = 6

Solving for variable 'z'.

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

Add '-108' to each side of the equation.
108 + -108 + 9z = 6 + -108

Combine like terms: 108 + -108 = 0
0 + 9z = 6 + -108
9z = 6 + -108

Combine like terms: 6 + -108 = -102
9z = -102

Divide each side by '9'.
z = -11.33333333

Simplifying
z = -11.33333333