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Simplifying -4u + 31 = -9(u + -9) Reorder the terms: 31 + -4u = -9(u + -9) Reorder the terms: 31 + -4u = -9(-9 + u) 31 + -4u = (-9 * -9 + u * -9) 31 + -4u = (81 + -9u) Solving 31 + -4u = 81 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. 31 + -4u + 9u = 81 + -9u + 9u Combine like terms: -4u + 9u = 5u 31 + 5u = 81 + -9u + 9u Combine like terms: -9u + 9u = 0 31 + 5u = 81 + 0 31 + 5u = 81 Add '-31' to each side of the equation. 31 + -31 + 5u = 81 + -31 Combine like terms: 31 + -31 = 0 0 + 5u = 81 + -31 5u = 81 + -31 Combine like terms: 81 + -31 = 50 5u = 50 Divide each side by '5'. u = 10 Simplifying u = 10
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