50=-2(23-Z)+4(2-Z)

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Solution for 50=-2(23-Z)+4(2-Z) equation: 


Simplifying
50 = -2(23 + -1Z) + 4(2 + -1Z)
50 = (23 * -2 + -1Z * -2) + 4(2 + -1Z)
50 = (-46 + 2Z) + 4(2 + -1Z)
50 = -46 + 2Z + (2 * 4 + -1Z * 4)
50 = -46 + 2Z + (8 + -4Z)

Reorder the terms:
50 = -46 + 8 + 2Z + -4Z

Combine like terms: -46 + 8 = -38
50 = -38 + 2Z + -4Z

Combine like terms: 2Z + -4Z = -2Z
50 = -38 + -2Z

Solving
50 = -38 + -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.
50 + 2Z = -38 + -2Z + 2Z

Combine like terms: -2Z + 2Z = 0
50 + 2Z = -38 + 0
50 + 2Z = -38

Add '-50' to each side of the equation.
50 + -50 + 2Z = -38 + -50

Combine like terms: 50 + -50 = 0
0 + 2Z = -38 + -50
2Z = -38 + -50

Combine like terms: -38 + -50 = -88
2Z = -88

Divide each side by '2'.
Z = -44

Simplifying
Z = -44

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