-7(z-6)=5z-6

Solution for -7(z-6)=5z-6 equation:

Simplifying
-7(z + -6) = 5z + -6

Reorder the terms:
-7(-6 + z) = 5z + -6
(-6 * -7 + z * -7) = 5z + -6
(42 + -7z) = 5z + -6

Reorder the terms:
42 + -7z = -6 + 5z

Solving
42 + -7z = -6 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
42 + -7z + -5z = -6 + 5z + -5z

Combine like terms: -7z + -5z = -12z
42 + -12z = -6 + 5z + -5z

Combine like terms: 5z + -5z = 0
42 + -12z = -6 + 0
42 + -12z = -6

Add '-42' to each side of the equation.
42 + -42 + -12z = -6 + -42

Combine like terms: 42 + -42 = 0
0 + -12z = -6 + -42
-12z = -6 + -42

Combine like terms: -6 + -42 = -48
-12z = -48

Divide each side by '-12'.
z = 4

Simplifying
z = 4