-6(z-7)-(-8z-9)=z

Solution for -6(z-7)-(-8z-9)=z equation:

Simplifying
-6(z + -7) + -1(-8z + -9) = z

Reorder the terms:
-6(-7 + z) + -1(-8z + -9) = z
(-7 * -6 + z * -6) + -1(-8z + -9) = z
(42 + -6z) + -1(-8z + -9) = z

Reorder the terms:
42 + -6z + -1(-9 + -8z) = z
42 + -6z + (-9 * -1 + -8z * -1) = z
42 + -6z + (9 + 8z) = z

Reorder the terms:
42 + 9 + -6z + 8z = z

Combine like terms: 42 + 9 = 51
51 + -6z + 8z = z

Combine like terms: -6z + 8z = 2z
51 + 2z = z

Solving
51 + 2z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
51 + 2z + -1z = z + -1z

Combine like terms: 2z + -1z = 1z
51 + 1z = z + -1z

Combine like terms: z + -1z = 0
51 + 1z = 0

Add '-51' to each side of the equation.
51 + -51 + 1z = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 1z = 0 + -51
1z = 0 + -51

Combine like terms: 0 + -51 = -51
1z = -51

Divide each side by '1'.
z = -51

Simplifying
z = -51