42=7(z-4)

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Solution for 42=7(z-4) equation:


Simplifying
42 = 7(z + -4)

Reorder the terms:
42 = 7(-4 + z)
42 = (-4 * 7 + z * 7)
42 = (-28 + 7z)

Solving
42 = -28 + 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 = -28 + 7z + -7z

Combine like terms: 7z + -7z = 0
42 + -7z = -28 + 0
42 + -7z = -28

Add '-42' to each side of the equation.
42 + -42 + -7z = -28 + -42

Combine like terms: 42 + -42 = 0
0 + -7z = -28 + -42
-7z = -28 + -42

Combine like terms: -28 + -42 = -70
-7z = -70

Divide each side by '-7'.
z = 10

Simplifying
z = 10

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