3(4z-2)-3(6-3z)=3

Solution for 3(4z-2)-3(6-3z)=3 equation:

Simplifying
3(4z + -2) + -3(6 + -3z) = 3

Reorder the terms:
3(-2 + 4z) + -3(6 + -3z) = 3
(-2 * 3 + 4z * 3) + -3(6 + -3z) = 3
(-6 + 12z) + -3(6 + -3z) = 3
-6 + 12z + (6 * -3 + -3z * -3) = 3
-6 + 12z + (-18 + 9z) = 3

Reorder the terms:
-6 + -18 + 12z + 9z = 3

Combine like terms: -6 + -18 = -24
-24 + 12z + 9z = 3

Combine like terms: 12z + 9z = 21z
-24 + 21z = 3

Solving
-24 + 21z = 3

Solving for variable 'z'.

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

Add '24' to each side of the equation.
-24 + 24 + 21z = 3 + 24

Combine like terms: -24 + 24 = 0
0 + 21z = 3 + 24
21z = 3 + 24

Combine like terms: 3 + 24 = 27
21z = 27

Divide each side by '21'.
z = 1.285714286

Simplifying
z = 1.285714286