3(4z-1)-3(6-3z)=3

Solution for 3(4z-1)-3(6-3z)=3 equation:

Simplifying
3(4z + -1) + -3(6 + -3z) = 3

Reorder the terms:
3(-1 + 4z) + -3(6 + -3z) = 3
(-1 * 3 + 4z * 3) + -3(6 + -3z) = 3
(-3 + 12z) + -3(6 + -3z) = 3
-3 + 12z + (6 * -3 + -3z * -3) = 3
-3 + 12z + (-18 + 9z) = 3

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

Combine like terms: -3 + -18 = -21
-21 + 12z + 9z = 3

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

Solving
-21 + 21z = 3

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 + 21z = 3 + 21

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

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

Divide each side by '21'.
z = 1.142857143

Simplifying
z = 1.142857143