6Z-11=14Z+13

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Solution for 6Z-11=14Z+13 equation:


Simplifying
6Z + -11 = 14Z + 13

Reorder the terms:
-11 + 6Z = 14Z + 13

Reorder the terms:
-11 + 6Z = 13 + 14Z

Solving
-11 + 6Z = 13 + 14Z

Solving for variable 'Z'.

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

Add '-14Z' to each side of the equation.
-11 + 6Z + -14Z = 13 + 14Z + -14Z

Combine like terms: 6Z + -14Z = -8Z
-11 + -8Z = 13 + 14Z + -14Z

Combine like terms: 14Z + -14Z = 0
-11 + -8Z = 13 + 0
-11 + -8Z = 13

Add '11' to each side of the equation.
-11 + 11 + -8Z = 13 + 11

Combine like terms: -11 + 11 = 0
0 + -8Z = 13 + 11
-8Z = 13 + 11

Combine like terms: 13 + 11 = 24
-8Z = 24

Divide each side by '-8'.
Z = -3

Simplifying
Z = -3

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