-8(z-9)-1(1-7z)=-2z

Solution for -8(z-9)-1(1-7z)=-2z equation:

Simplifying
-8(z + -9) + -1(1 + -7z) = -2z

Reorder the terms:
-8(-9 + z) + -1(1 + -7z) = -2z
(-9 * -8 + z * -8) + -1(1 + -7z) = -2z
(72 + -8z) + -1(1 + -7z) = -2z
72 + -8z + (1 * -1 + -7z * -1) = -2z
72 + -8z + (-1 + 7z) = -2z

Reorder the terms:
72 + -1 + -8z + 7z = -2z

Combine like terms: 72 + -1 = 71
71 + -8z + 7z = -2z

Combine like terms: -8z + 7z = -1z
71 + -1z = -2z

Solving
71 + -1z = -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
71 + -1z + 2z = -2z + 2z

Combine like terms: -1z + 2z = 1z
71 + 1z = -2z + 2z

Combine like terms: -2z + 2z = 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