3z-1=z+5

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Solution for 3z-1=z+5 equation:


Simplifying
3z + -1 = z + 5

Reorder the terms:
-1 + 3z = z + 5

Reorder the terms:
-1 + 3z = 5 + z

Solving
-1 + 3z = 5 + 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 + 3z + -1z = 5 + z + -1z

Combine like terms: 3z + -1z = 2z
-1 + 2z = 5 + z + -1z

Combine like terms: z + -1z = 0
-1 + 2z = 5 + 0
-1 + 2z = 5

Add '1' to each side of the equation.
-1 + 1 + 2z = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 2z = 5 + 1
2z = 5 + 1

Combine like terms: 5 + 1 = 6
2z = 6

Divide each side by '2'.
z = 3

Simplifying
z = 3

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