2(3Z-5)+2=4Z-3(2Z+8)

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Solution for 2(3Z-5)+2=4Z-3(2Z+8) equation: 


Simplifying
2(3Z + -5) + 2 = 4Z + -3(2Z + 8)

Reorder the terms:
2(-5 + 3Z) + 2 = 4Z + -3(2Z + 8)
(-5 * 2 + 3Z * 2) + 2 = 4Z + -3(2Z + 8)
(-10 + 6Z) + 2 = 4Z + -3(2Z + 8)

Reorder the terms:
-10 + 2 + 6Z = 4Z + -3(2Z + 8)

Combine like terms: -10 + 2 = -8
-8 + 6Z = 4Z + -3(2Z + 8)

Reorder the terms:
-8 + 6Z = 4Z + -3(8 + 2Z)
-8 + 6Z = 4Z + (8 * -3 + 2Z * -3)
-8 + 6Z = 4Z + (-24 + -6Z)

Reorder the terms:
-8 + 6Z = -24 + 4Z + -6Z

Combine like terms: 4Z + -6Z = -2Z
-8 + 6Z = -24 + -2Z

Solving
-8 + 6Z = -24 + -2Z

Solving for variable 'Z'.

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

Add '2Z' to each side of the equation.
-8 + 6Z + 2Z = -24 + -2Z + 2Z

Combine like terms: 6Z + 2Z = 8Z
-8 + 8Z = -24 + -2Z + 2Z

Combine like terms: -2Z + 2Z = 0
-8 + 8Z = -24 + 0
-8 + 8Z = -24

Add '8' to each side of the equation.
-8 + 8 + 8Z = -24 + 8

Combine like terms: -8 + 8 = 0
0 + 8Z = -24 + 8
8Z = -24 + 8

Combine like terms: -24 + 8 = -16
8Z = -16

Divide each side by '8'.
Z = -2

Simplifying
Z = -2

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