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

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


Simplifying
2(2 + -3Z) = 8 + -2(4Z + 5)
(2 * 2 + -3Z * 2) = 8 + -2(4Z + 5)
(4 + -6Z) = 8 + -2(4Z + 5)

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

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

Solving
4 + -6Z = -2 + -8Z

Solving for variable 'Z'.

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

Add '8Z' to each side of the equation.
4 + -6Z + 8Z = -2 + -8Z + 8Z

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

Combine like terms: -8Z + 8Z = 0
4 + 2Z = -2 + 0
4 + 2Z = -2

Add '-4' to each side of the equation.
4 + -4 + 2Z = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 2Z = -2 + -4
2Z = -2 + -4

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

Divide each side by '2'.
Z = -3

Simplifying
Z = -3

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