72-13(u-8)=72-(4u-32)

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Solution for 72-13(u-8)=72-(4u-32) equation:


Simplifying
72 + -13(u + -8) = 72 + -1(4u + -32)

Reorder the terms:
72 + -13(-8 + u) = 72 + -1(4u + -32)
72 + (-8 * -13 + u * -13) = 72 + -1(4u + -32)
72 + (104 + -13u) = 72 + -1(4u + -32)

Combine like terms: 72 + 104 = 176
176 + -13u = 72 + -1(4u + -32)

Reorder the terms:
176 + -13u = 72 + -1(-32 + 4u)
176 + -13u = 72 + (-32 * -1 + 4u * -1)
176 + -13u = 72 + (32 + -4u)

Combine like terms: 72 + 32 = 104
176 + -13u = 104 + -4u

Solving
176 + -13u = 104 + -4u

Solving for variable 'u'.

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

Add '4u' to each side of the equation.
176 + -13u + 4u = 104 + -4u + 4u

Combine like terms: -13u + 4u = -9u
176 + -9u = 104 + -4u + 4u

Combine like terms: -4u + 4u = 0
176 + -9u = 104 + 0
176 + -9u = 104

Add '-176' to each side of the equation.
176 + -176 + -9u = 104 + -176

Combine like terms: 176 + -176 = 0
0 + -9u = 104 + -176
-9u = 104 + -176

Combine like terms: 104 + -176 = -72
-9u = -72

Divide each side by '-9'.
u = 8

Simplifying
u = 8

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