3(2z-1)-3(6-3z)=6

Solution for 3(2z-1)-3(6-3z)=6 equation:

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

Reorder the terms:
3(-1 + 2z) + -3(6 + -3z) = 6
(-1 * 3 + 2z * 3) + -3(6 + -3z) = 6
(-3 + 6z) + -3(6 + -3z) = 6
-3 + 6z + (6 * -3 + -3z * -3) = 6
-3 + 6z + (-18 + 9z) = 6

Reorder the terms:
-3 + -18 + 6z + 9z = 6

Combine like terms: -3 + -18 = -21
-21 + 6z + 9z = 6

Combine like terms: 6z + 9z = 15z
-21 + 15z = 6

Solving
-21 + 15z = 6

Solving for variable 'z'.

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

Add '21' to each side of the equation.
-21 + 21 + 15z = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 15z = 6 + 21
15z = 6 + 21

Combine like terms: 6 + 21 = 27
15z = 27

Divide each side by '15'.
z = 1.8

Simplifying
z = 1.8