42=7(z-5)

Solution for 42=7(z-5) equation:

Simplifying
42 = 7(z + -5)

Reorder the terms:
42 = 7(-5 + z)
42 = (-5 * 7 + z * 7)
42 = (-35 + 7z)

Solving
42 = -35 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
42 + -7z = -35 + 7z + -7z

Combine like terms: 7z + -7z = 0
42 + -7z = -35 + 0
42 + -7z = -35

Add '-42' to each side of the equation.
42 + -42 + -7z = -35 + -42

Combine like terms: 42 + -42 = 0
0 + -7z = -35 + -42
-7z = -35 + -42

Combine like terms: -35 + -42 = -77
-7z = -77

Divide each side by '-7'.
z = 11

Simplifying
z = 11