-7(z-6)=-8z

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

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

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

Solving
42 + -7z = -8z

Solving for variable 'z'.

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

Add '8z' to each side of the equation.
42 + -7z + 8z = -8z + 8z

Combine like terms: -7z + 8z = 1z
42 + 1z = -8z + 8z

Combine like terms: -8z + 8z = 0
42 + 1z = 0

Add '-42' to each side of the equation.
42 + -42 + 1z = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 1z = 0 + -42
1z = 0 + -42

Combine like terms: 0 + -42 = -42
1z = -42

Divide each side by '1'.
z = -42

Simplifying
z = -42