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

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

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

Reorder the terms:
6(-1 + 2z) + -2(3z) = 3
(-1 * 6 + 2z * 6) + -2(3z) = 3
(-6 + 12z) + -2(3z) = 3

Remove parenthesis around (3z)
-6 + 12z + -2 * 3z = 3

Multiply -2 * 3
-6 + 12z + -6z = 3

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

Solving
-6 + 6z = 3

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 6z = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 6z = 3 + 6
6z = 3 + 6

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

Divide each side by '6'.
z = 1.5

Simplifying
z = 1.5