22-42=4(z-1)-4

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Solution for 22-42=4(z-1)-4 equation:


Simplifying
22 + -42 = 4(z + -1) + -4

Combine like terms: 22 + -42 = -20
-20 = 4(z + -1) + -4

Reorder the terms:
-20 = 4(-1 + z) + -4
-20 = (-1 * 4 + z * 4) + -4
-20 = (-4 + 4z) + -4

Reorder the terms:
-20 = -4 + -4 + 4z

Combine like terms: -4 + -4 = -8
-20 = -8 + 4z

Solving
-20 = -8 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-20 + -4z = -8 + 4z + -4z

Combine like terms: 4z + -4z = 0
-20 + -4z = -8 + 0
-20 + -4z = -8

Add '20' to each side of the equation.
-20 + 20 + -4z = -8 + 20

Combine like terms: -20 + 20 = 0
0 + -4z = -8 + 20
-4z = -8 + 20

Combine like terms: -8 + 20 = 12
-4z = 12

Divide each side by '-4'.
z = -3

Simplifying
z = -3

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