3(5z+2)-7=89

Solution for 3(5z+2)-7=89 equation:

Simplifying
3(5z + 2) + -7 = 89

Reorder the terms:
3(2 + 5z) + -7 = 89
(2 * 3 + 5z * 3) + -7 = 89
(6 + 15z) + -7 = 89

Reorder the terms:
6 + -7 + 15z = 89

Combine like terms: 6 + -7 = -1
-1 + 15z = 89

Solving
-1 + 15z = 89

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + 15z = 89 + 1

Combine like terms: -1 + 1 = 0
0 + 15z = 89 + 1
15z = 89 + 1

Combine like terms: 89 + 1 = 90
15z = 90

Divide each side by '15'.
z = 6

Simplifying
z = 6