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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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