3Z+5=Z-13

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Solution for 3Z+5=Z-13 equation:


Simplifying
3Z + 5 = Z + -13

Reorder the terms:
5 + 3Z = Z + -13

Reorder the terms:
5 + 3Z = -13 + Z

Solving
5 + 3Z = -13 + 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.
5 + 3Z + -1Z = -13 + Z + -1Z

Combine like terms: 3Z + -1Z = 2Z
5 + 2Z = -13 + Z + -1Z

Combine like terms: Z + -1Z = 0
5 + 2Z = -13 + 0
5 + 2Z = -13

Add '-5' to each side of the equation.
5 + -5 + 2Z = -13 + -5

Combine like terms: 5 + -5 = 0
0 + 2Z = -13 + -5
2Z = -13 + -5

Combine like terms: -13 + -5 = -18
2Z = -18

Divide each side by '2'.
Z = -9

Simplifying
Z = -9

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