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

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

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

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

Reorder the terms:
36 + 9Z + -3(-4 + Z) = 2(Z + -1) + 3(Z + -2)
36 + 9Z + (-4 * -3 + Z * -3) = 2(Z + -1) + 3(Z + -2)
36 + 9Z + (12 + -3Z) = 2(Z + -1) + 3(Z + -2)

Reorder the terms:
36 + 12 + 9Z + -3Z = 2(Z + -1) + 3(Z + -2)

Combine like terms: 36 + 12 = 48
48 + 9Z + -3Z = 2(Z + -1) + 3(Z + -2)

Combine like terms: 9Z + -3Z = 6Z
48 + 6Z = 2(Z + -1) + 3(Z + -2)

Reorder the terms:
48 + 6Z = 2(-1 + Z) + 3(Z + -2)
48 + 6Z = (-1 * 2 + Z * 2) + 3(Z + -2)
48 + 6Z = (-2 + 2Z) + 3(Z + -2)

Reorder the terms:
48 + 6Z = -2 + 2Z + 3(-2 + Z)
48 + 6Z = -2 + 2Z + (-2 * 3 + Z * 3)
48 + 6Z = -2 + 2Z + (-6 + 3Z)

Reorder the terms:
48 + 6Z = -2 + -6 + 2Z + 3Z

Combine like terms: -2 + -6 = -8
48 + 6Z = -8 + 2Z + 3Z

Combine like terms: 2Z + 3Z = 5Z
48 + 6Z = -8 + 5Z

Solving
48 + 6Z = -8 + 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.
48 + 6Z + -5Z = -8 + 5Z + -5Z

Combine like terms: 6Z + -5Z = 1Z
48 + 1Z = -8 + 5Z + -5Z

Combine like terms: 5Z + -5Z = 0
48 + 1Z = -8 + 0
48 + 1Z = -8

Add '-48' to each side of the equation.
48 + -48 + 1Z = -8 + -48

Combine like terms: 48 + -48 = 0
0 + 1Z = -8 + -48
1Z = -8 + -48

Combine like terms: -8 + -48 = -56
1Z = -56

Divide each side by '1'.
Z = -56

Simplifying
Z = -56