-8(z-9)-(1+3z)=-12z

Solution for -8(z-9)-(1+3z)=-12z equation:

Simplifying
-8(z + -9) + -1(1 + 3z) = -12z

Reorder the terms:
-8(-9 + z) + -1(1 + 3z) = -12z
(-9 * -8 + z * -8) + -1(1 + 3z) = -12z
(72 + -8z) + -1(1 + 3z) = -12z
72 + -8z + (1 * -1 + 3z * -1) = -12z
72 + -8z + (-1 + -3z) = -12z

Reorder the terms:
72 + -1 + -8z + -3z = -12z

Combine like terms: 72 + -1 = 71
71 + -8z + -3z = -12z

Combine like terms: -8z + -3z = -11z
71 + -11z = -12z

Solving
71 + -11z = -12z

Solving for variable 'z'.

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

Add '12z' to each side of the equation.
71 + -11z + 12z = -12z + 12z

Combine like terms: -11z + 12z = 1z
71 + 1z = -12z + 12z

Combine like terms: -12z + 12z = 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