14-4(-14Z-19)=2(3Z+20)

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Solution for 14-4(-14Z-19)=2(3Z+20) equation: 


Simplifying
14 + -4(-14Z + -19) = 2(3Z + 20)

Reorder the terms:
14 + -4(-19 + -14Z) = 2(3Z + 20)
14 + (-19 * -4 + -14Z * -4) = 2(3Z + 20)
14 + (76 + 56Z) = 2(3Z + 20)

Combine like terms: 14 + 76 = 90
90 + 56Z = 2(3Z + 20)

Reorder the terms:
90 + 56Z = 2(20 + 3Z)
90 + 56Z = (20 * 2 + 3Z * 2)
90 + 56Z = (40 + 6Z)

Solving
90 + 56Z = 40 + 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.
90 + 56Z + -6Z = 40 + 6Z + -6Z

Combine like terms: 56Z + -6Z = 50Z
90 + 50Z = 40 + 6Z + -6Z

Combine like terms: 6Z + -6Z = 0
90 + 50Z = 40 + 0
90 + 50Z = 40

Add '-90' to each side of the equation.
90 + -90 + 50Z = 40 + -90

Combine like terms: 90 + -90 = 0
0 + 50Z = 40 + -90
50Z = 40 + -90

Combine like terms: 40 + -90 = -50
50Z = -50

Divide each side by '50'.
Z = -1

Simplifying
Z = -1

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