3(5z+1)-6=72

Solution for 3(5z+1)-6=72 equation:

Simplifying
3(5z + 1) + -6 = 72

Reorder the terms:
3(1 + 5z) + -6 = 72
(1 * 3 + 5z * 3) + -6 = 72
(3 + 15z) + -6 = 72

Reorder the terms:
3 + -6 + 15z = 72

Combine like terms: 3 + -6 = -3
-3 + 15z = 72

Solving
-3 + 15z = 72

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 + 15z = 72 + 3

Combine like terms: -3 + 3 = 0
0 + 15z = 72 + 3
15z = 72 + 3

Combine like terms: 72 + 3 = 75
15z = 75

Divide each side by '15'.
z = 5

Simplifying
z = 5