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

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Solution for 13(Z+2)-4(Z-3)=4(Z-1)+4(Z-2) equation:


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

Reorder the terms:
13(2 + Z) + -4(Z + -3) = 4(Z + -1) + 4(Z + -2)
(2 * 13 + Z * 13) + -4(Z + -3) = 4(Z + -1) + 4(Z + -2)
(26 + 13Z) + -4(Z + -3) = 4(Z + -1) + 4(Z + -2)

Reorder the terms:
26 + 13Z + -4(-3 + Z) = 4(Z + -1) + 4(Z + -2)
26 + 13Z + (-3 * -4 + Z * -4) = 4(Z + -1) + 4(Z + -2)
26 + 13Z + (12 + -4Z) = 4(Z + -1) + 4(Z + -2)

Reorder the terms:
26 + 12 + 13Z + -4Z = 4(Z + -1) + 4(Z + -2)

Combine like terms: 26 + 12 = 38
38 + 13Z + -4Z = 4(Z + -1) + 4(Z + -2)

Combine like terms: 13Z + -4Z = 9Z
38 + 9Z = 4(Z + -1) + 4(Z + -2)

Reorder the terms:
38 + 9Z = 4(-1 + Z) + 4(Z + -2)
38 + 9Z = (-1 * 4 + Z * 4) + 4(Z + -2)
38 + 9Z = (-4 + 4Z) + 4(Z + -2)

Reorder the terms:
38 + 9Z = -4 + 4Z + 4(-2 + Z)
38 + 9Z = -4 + 4Z + (-2 * 4 + Z * 4)
38 + 9Z = -4 + 4Z + (-8 + 4Z)

Reorder the terms:
38 + 9Z = -4 + -8 + 4Z + 4Z

Combine like terms: -4 + -8 = -12
38 + 9Z = -12 + 4Z + 4Z

Combine like terms: 4Z + 4Z = 8Z
38 + 9Z = -12 + 8Z

Solving
38 + 9Z = -12 + 8Z

Solving for variable 'Z'.

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

Add '-8Z' to each side of the equation.
38 + 9Z + -8Z = -12 + 8Z + -8Z

Combine like terms: 9Z + -8Z = 1Z
38 + 1Z = -12 + 8Z + -8Z

Combine like terms: 8Z + -8Z = 0
38 + 1Z = -12 + 0
38 + 1Z = -12

Add '-38' to each side of the equation.
38 + -38 + 1Z = -12 + -38

Combine like terms: 38 + -38 = 0
0 + 1Z = -12 + -38
1Z = -12 + -38

Combine like terms: -12 + -38 = -50
1Z = -50

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

Simplifying
Z = -50

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