5z-52=z-16

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Solution for 5z-52=z-16 equation:


Simplifying
5z + -52 = z + -16

Reorder the terms:
-52 + 5z = z + -16

Reorder the terms:
-52 + 5z = -16 + z

Solving
-52 + 5z = -16 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-52 + 5z + -1z = -16 + z + -1z

Combine like terms: 5z + -1z = 4z
-52 + 4z = -16 + z + -1z

Combine like terms: z + -1z = 0
-52 + 4z = -16 + 0
-52 + 4z = -16

Add '52' to each side of the equation.
-52 + 52 + 4z = -16 + 52

Combine like terms: -52 + 52 = 0
0 + 4z = -16 + 52
4z = -16 + 52

Combine like terms: -16 + 52 = 36
4z = 36

Divide each side by '4'.
z = 9

Simplifying
z = 9

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