3(2z-4)+15-3z=42

Solution for 3(2z-4)+15-3z=42 equation:

Simplifying
3(2z + -4) + 15 + -3z = 42

Reorder the terms:
3(-4 + 2z) + 15 + -3z = 42
(-4 * 3 + 2z * 3) + 15 + -3z = 42
(-12 + 6z) + 15 + -3z = 42

Reorder the terms:
-12 + 15 + 6z + -3z = 42

Combine like terms: -12 + 15 = 3
3 + 6z + -3z = 42

Combine like terms: 6z + -3z = 3z
3 + 3z = 42

Solving
3 + 3z = 42

Solving for variable 'z'.

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

Add '-3' to each side of the equation.
3 + -3 + 3z = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 3z = 42 + -3
3z = 42 + -3

Combine like terms: 42 + -3 = 39
3z = 39

Divide each side by '3'.
z = 13

Simplifying
z = 13