9(z+8)-(1-7z)=15z

Solution for 9(z+8)-(1-7z)=15z equation:

Simplifying
9(z + 8) + -1(1 + -7z) = 15z

Reorder the terms:
9(8 + z) + -1(1 + -7z) = 15z
(8 * 9 + z * 9) + -1(1 + -7z) = 15z
(72 + 9z) + -1(1 + -7z) = 15z
72 + 9z + (1 * -1 + -7z * -1) = 15z
72 + 9z + (-1 + 7z) = 15z

Reorder the terms:
72 + -1 + 9z + 7z = 15z

Combine like terms: 72 + -1 = 71
71 + 9z + 7z = 15z

Combine like terms: 9z + 7z = 16z
71 + 16z = 15z

Solving
71 + 16z = 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
71 + 16z + -15z = 15z + -15z

Combine like terms: 16z + -15z = 1z
71 + 1z = 15z + -15z

Combine like terms: 15z + -15z = 0
71 + 1z = 0

Add '-71' to each side of the equation.
71 + -71 + 1z = 0 + -71

Combine like terms: 71 + -71 = 0
0 + 1z = 0 + -71
1z = 0 + -71

Combine like terms: 0 + -71 = -71
1z = -71

Divide each side by '1'.
z = -71

Simplifying
z = -71