4(6Z-1)-3Z+7=2(Z+1)

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Solution for 4(6Z-1)-3Z+7=2(Z+1) equation:


Simplifying
4(6Z + -1) + -3Z + 7 = 2(Z + 1)

Reorder the terms:
4(-1 + 6Z) + -3Z + 7 = 2(Z + 1)
(-1 * 4 + 6Z * 4) + -3Z + 7 = 2(Z + 1)
(-4 + 24Z) + -3Z + 7 = 2(Z + 1)

Reorder the terms:
-4 + 7 + 24Z + -3Z = 2(Z + 1)

Combine like terms: -4 + 7 = 3
3 + 24Z + -3Z = 2(Z + 1)

Combine like terms: 24Z + -3Z = 21Z
3 + 21Z = 2(Z + 1)

Reorder the terms:
3 + 21Z = 2(1 + Z)
3 + 21Z = (1 * 2 + Z * 2)
3 + 21Z = (2 + 2Z)

Solving
3 + 21Z = 2 + 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.
3 + 21Z + -2Z = 2 + 2Z + -2Z

Combine like terms: 21Z + -2Z = 19Z
3 + 19Z = 2 + 2Z + -2Z

Combine like terms: 2Z + -2Z = 0
3 + 19Z = 2 + 0
3 + 19Z = 2

Add '-3' to each side of the equation.
3 + -3 + 19Z = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 19Z = 2 + -3
19Z = 2 + -3

Combine like terms: 2 + -3 = -1
19Z = -1

Divide each side by '19'.
Z = -0.05263157895

Simplifying
Z = -0.05263157895

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