9(Z+4)-2(Z-1)=2(Z-4)+4(Z-3)

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Solution for 9(Z+4)-2(Z-1)=2(Z-4)+4(Z-3) equation:


Simplifying
9(Z + 4) + -2(Z + -1) = 2(Z + -4) + 4(Z + -3)

Reorder the terms:
9(4 + Z) + -2(Z + -1) = 2(Z + -4) + 4(Z + -3)
(4 * 9 + Z * 9) + -2(Z + -1) = 2(Z + -4) + 4(Z + -3)
(36 + 9Z) + -2(Z + -1) = 2(Z + -4) + 4(Z + -3)

Reorder the terms:
36 + 9Z + -2(-1 + Z) = 2(Z + -4) + 4(Z + -3)
36 + 9Z + (-1 * -2 + Z * -2) = 2(Z + -4) + 4(Z + -3)
36 + 9Z + (2 + -2Z) = 2(Z + -4) + 4(Z + -3)

Reorder the terms:
36 + 2 + 9Z + -2Z = 2(Z + -4) + 4(Z + -3)

Combine like terms: 36 + 2 = 38
38 + 9Z + -2Z = 2(Z + -4) + 4(Z + -3)

Combine like terms: 9Z + -2Z = 7Z
38 + 7Z = 2(Z + -4) + 4(Z + -3)

Reorder the terms:
38 + 7Z = 2(-4 + Z) + 4(Z + -3)
38 + 7Z = (-4 * 2 + Z * 2) + 4(Z + -3)
38 + 7Z = (-8 + 2Z) + 4(Z + -3)

Reorder the terms:
38 + 7Z = -8 + 2Z + 4(-3 + Z)
38 + 7Z = -8 + 2Z + (-3 * 4 + Z * 4)
38 + 7Z = -8 + 2Z + (-12 + 4Z)

Reorder the terms:
38 + 7Z = -8 + -12 + 2Z + 4Z

Combine like terms: -8 + -12 = -20
38 + 7Z = -20 + 2Z + 4Z

Combine like terms: 2Z + 4Z = 6Z
38 + 7Z = -20 + 6Z

Solving
38 + 7Z = -20 + 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.
38 + 7Z + -6Z = -20 + 6Z + -6Z

Combine like terms: 7Z + -6Z = 1Z
38 + 1Z = -20 + 6Z + -6Z

Combine like terms: 6Z + -6Z = 0
38 + 1Z = -20 + 0
38 + 1Z = -20

Add '-38' to each side of the equation.
38 + -38 + 1Z = -20 + -38

Combine like terms: 38 + -38 = 0
0 + 1Z = -20 + -38
1Z = -20 + -38

Combine like terms: -20 + -38 = -58
1Z = -58

Divide each side by '1'.
Z = -58

Simplifying
Z = -58

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