50=-2(23-Z)+4(Z-3)

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Solution for 50=-2(23-Z)+4(Z-3) equation: 


Simplifying
50 = -2(23 + -1Z) + 4(Z + -3)
50 = (23 * -2 + -1Z * -2) + 4(Z + -3)
50 = (-46 + 2Z) + 4(Z + -3)

Reorder the terms:
50 = -46 + 2Z + 4(-3 + Z)
50 = -46 + 2Z + (-3 * 4 + Z * 4)
50 = -46 + 2Z + (-12 + 4Z)

Reorder the terms:
50 = -46 + -12 + 2Z + 4Z

Combine like terms: -46 + -12 = -58
50 = -58 + 2Z + 4Z

Combine like terms: 2Z + 4Z = 6Z
50 = -58 + 6Z

Solving
50 = -58 + 6Z

Solving for variable 'Z'.

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

Add '-6Z' to each side of the equation.
50 + -6Z = -58 + 6Z + -6Z

Combine like terms: 6Z + -6Z = 0
50 + -6Z = -58 + 0
50 + -6Z = -58

Add '-50' to each side of the equation.
50 + -50 + -6Z = -58 + -50

Combine like terms: 50 + -50 = 0
0 + -6Z = -58 + -50
-6Z = -58 + -50

Combine like terms: -58 + -50 = -108
-6Z = -108

Divide each side by '-6'.
Z = 18

Simplifying
Z = 18

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