72+72(2z)-9(3Z-1)=4(2Z+4)-72(2Z)

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Solution for 72+72(2z)-9(3Z-1)=4(2Z+4)-72(2Z) equation: 


Simplifying
72 + 72(2z) + -9(3Z + -1) = 4(2Z + 4) + -72(2Z)

Remove parenthesis around (2z)
72 + 72 * 2z + -9(3Z + -1) = 4(2Z + 4) + -72(2Z)

Multiply 72 * 2
72 + 144z + -9(3Z + -1) = 4(2Z + 4) + -72(2Z)

Reorder the terms:
72 + 144z + -9(-1 + 3Z) = 4(2Z + 4) + -72(2Z)
72 + 144z + (-1 * -9 + 3Z * -9) = 4(2Z + 4) + -72(2Z)
72 + 144z + (9 + -27Z) = 4(2Z + 4) + -72(2Z)

Reorder the terms:
72 + 9 + -27Z + 144z = 4(2Z + 4) + -72(2Z)

Combine like terms: 72 + 9 = 81
81 + -27Z + 144z = 4(2Z + 4) + -72(2Z)

Reorder the terms:
81 + -27Z + 144z = 4(4 + 2Z) + -72(2Z)
81 + -27Z + 144z = (4 * 4 + 2Z * 4) + -72(2Z)
81 + -27Z + 144z = (16 + 8Z) + -72(2Z)

Remove parenthesis around (2Z)
81 + -27Z + 144z = 16 + 8Z + -72 * 2Z

Multiply -72 * 2
81 + -27Z + 144z = 16 + 8Z + -144Z

Combine like terms: 8Z + -144Z = -136Z
81 + -27Z + 144z = 16 + -136Z

Solving
81 + -27Z + 144z = 16 + -136Z

Solving for variable 'Z'.

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

Add '136Z' to each side of the equation.
81 + -27Z + 136Z + 144z = 16 + -136Z + 136Z

Combine like terms: -27Z + 136Z = 109Z
81 + 109Z + 144z = 16 + -136Z + 136Z

Combine like terms: -136Z + 136Z = 0
81 + 109Z + 144z = 16 + 0
81 + 109Z + 144z = 16

Add '-81' to each side of the equation.
81 + 109Z + -81 + 144z = 16 + -81

Reorder the terms:
81 + -81 + 109Z + 144z = 16 + -81

Combine like terms: 81 + -81 = 0
0 + 109Z + 144z = 16 + -81
109Z + 144z = 16 + -81

Combine like terms: 16 + -81 = -65
109Z + 144z = -65

Add '-144z' to each side of the equation.
109Z + 144z + -144z = -65 + -144z

Combine like terms: 144z + -144z = 0
109Z + 0 = -65 + -144z
109Z = -65 + -144z

Divide each side by '109'.
Z = -0.5963302752 + -1.321100917z

Simplifying
Z = -0.5963302752 + -1.321100917z

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