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