8(z-5)-(6z-6)=z

Solution for 8(z-5)-(6z-6)=z equation:

Simplifying
8(z + -5) + -1(6z + -6) = z

Reorder the terms:
8(-5 + z) + -1(6z + -6) = z
(-5 * 8 + z * 8) + -1(6z + -6) = z
(-40 + 8z) + -1(6z + -6) = z

Reorder the terms:
-40 + 8z + -1(-6 + 6z) = z
-40 + 8z + (-6 * -1 + 6z * -1) = z
-40 + 8z + (6 + -6z) = z

Reorder the terms:
-40 + 6 + 8z + -6z = z

Combine like terms: -40 + 6 = -34
-34 + 8z + -6z = z

Combine like terms: 8z + -6z = 2z
-34 + 2z = z

Solving
-34 + 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.
-34 + 2z + -1z = z + -1z

Combine like terms: 2z + -1z = 1z
-34 + 1z = z + -1z

Combine like terms: z + -1z = 0
-34 + 1z = 0

Add '34' to each side of the equation.
-34 + 34 + 1z = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 1z = 0 + 34
1z = 0 + 34

Combine like terms: 0 + 34 = 34
1z = 34

Divide each side by '1'.
z = 34

Simplifying
z = 34