8(Z+3)-2(Z-2)=2(Z-1)+3(Z-1)

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Solution for 8(Z+3)-2(Z-2)=2(Z-1)+3(Z-1) equation: 


Simplifying
8(Z + 3) + -2(Z + -2) = 2(Z + -1) + 3(Z + -1)

Reorder the terms:
8(3 + Z) + -2(Z + -2) = 2(Z + -1) + 3(Z + -1)
(3 * 8 + Z * 8) + -2(Z + -2) = 2(Z + -1) + 3(Z + -1)
(24 + 8Z) + -2(Z + -2) = 2(Z + -1) + 3(Z + -1)

Reorder the terms:
24 + 8Z + -2(-2 + Z) = 2(Z + -1) + 3(Z + -1)
24 + 8Z + (-2 * -2 + Z * -2) = 2(Z + -1) + 3(Z + -1)
24 + 8Z + (4 + -2Z) = 2(Z + -1) + 3(Z + -1)

Reorder the terms:
24 + 4 + 8Z + -2Z = 2(Z + -1) + 3(Z + -1)

Combine like terms: 24 + 4 = 28
28 + 8Z + -2Z = 2(Z + -1) + 3(Z + -1)

Combine like terms: 8Z + -2Z = 6Z
28 + 6Z = 2(Z + -1) + 3(Z + -1)

Reorder the terms:
28 + 6Z = 2(-1 + Z) + 3(Z + -1)
28 + 6Z = (-1 * 2 + Z * 2) + 3(Z + -1)
28 + 6Z = (-2 + 2Z) + 3(Z + -1)

Reorder the terms:
28 + 6Z = -2 + 2Z + 3(-1 + Z)
28 + 6Z = -2 + 2Z + (-1 * 3 + Z * 3)
28 + 6Z = -2 + 2Z + (-3 + 3Z)

Reorder the terms:
28 + 6Z = -2 + -3 + 2Z + 3Z

Combine like terms: -2 + -3 = -5
28 + 6Z = -5 + 2Z + 3Z

Combine like terms: 2Z + 3Z = 5Z
28 + 6Z = -5 + 5Z

Solving
28 + 6Z = -5 + 5Z

Solving for variable 'Z'.

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

Add '-5Z' to each side of the equation.
28 + 6Z + -5Z = -5 + 5Z + -5Z

Combine like terms: 6Z + -5Z = 1Z
28 + 1Z = -5 + 5Z + -5Z

Combine like terms: 5Z + -5Z = 0
28 + 1Z = -5 + 0
28 + 1Z = -5

Add '-28' to each side of the equation.
28 + -28 + 1Z = -5 + -28

Combine like terms: 28 + -28 = 0
0 + 1Z = -5 + -28
1Z = -5 + -28

Combine like terms: -5 + -28 = -33
1Z = -33

Divide each side by '1'.
Z = -33

Simplifying
Z = -33

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