3z-40=z-2

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Solution for 3z-40=z-2 equation:


Simplifying
3z + -40 = z + -2

Reorder the terms:
-40 + 3z = z + -2

Reorder the terms:
-40 + 3z = -2 + z

Solving
-40 + 3z = -2 + 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.
-40 + 3z + -1z = -2 + z + -1z

Combine like terms: 3z + -1z = 2z
-40 + 2z = -2 + z + -1z

Combine like terms: z + -1z = 0
-40 + 2z = -2 + 0
-40 + 2z = -2

Add '40' to each side of the equation.
-40 + 40 + 2z = -2 + 40

Combine like terms: -40 + 40 = 0
0 + 2z = -2 + 40
2z = -2 + 40

Combine like terms: -2 + 40 = 38
2z = 38

Divide each side by '2'.
z = 19

Simplifying
z = 19

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