5z-1=z+15

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Solution for 5z-1=z+15 equation:


Simplifying
5z + -1 = z + 15

Reorder the terms:
-1 + 5z = z + 15

Reorder the terms:
-1 + 5z = 15 + z

Solving
-1 + 5z = 15 + 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.
-1 + 5z + -1z = 15 + z + -1z

Combine like terms: 5z + -1z = 4z
-1 + 4z = 15 + z + -1z

Combine like terms: z + -1z = 0
-1 + 4z = 15 + 0
-1 + 4z = 15

Add '1' to each side of the equation.
-1 + 1 + 4z = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 4z = 15 + 1
4z = 15 + 1

Combine like terms: 15 + 1 = 16
4z = 16

Divide each side by '4'.
z = 4

Simplifying
z = 4

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