-5Z+13-1=1+(7Z+3)

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Solution for -5Z+13-1=1+(7Z+3) equation: 


Simplifying
-5Z + 13 + -1 = 1 + (7Z + 3)

Reorder the terms:
13 + -1 + -5Z = 1 + (7Z + 3)

Combine like terms: 13 + -1 = 12
12 + -5Z = 1 + (7Z + 3)

Reorder the terms:
12 + -5Z = 1 + (3 + 7Z)

Remove parenthesis around (3 + 7Z)
12 + -5Z = 1 + 3 + 7Z

Combine like terms: 1 + 3 = 4
12 + -5Z = 4 + 7Z

Solving
12 + -5Z = 4 + 7Z

Solving for variable 'Z'.

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

Add '-7Z' to each side of the equation.
12 + -5Z + -7Z = 4 + 7Z + -7Z

Combine like terms: -5Z + -7Z = -12Z
12 + -12Z = 4 + 7Z + -7Z

Combine like terms: 7Z + -7Z = 0
12 + -12Z = 4 + 0
12 + -12Z = 4

Add '-12' to each side of the equation.
12 + -12 + -12Z = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -12Z = 4 + -12
-12Z = 4 + -12

Combine like terms: 4 + -12 = -8
-12Z = -8

Divide each side by '-12'.
Z = 0.6666666667

Simplifying
Z = 0.6666666667

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