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Simplifying 31 = 7u + 2(u + -7) Reorder the terms: 31 = 7u + 2(-7 + u) 31 = 7u + (-7 * 2 + u * 2) 31 = 7u + (-14 + 2u) Reorder the terms: 31 = -14 + 7u + 2u Combine like terms: 7u + 2u = 9u 31 = -14 + 9u Solving 31 = -14 + 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 + -9u = -14 + 9u + -9u Combine like terms: 9u + -9u = 0 31 + -9u = -14 + 0 31 + -9u = -14 Add '-31' to each side of the equation. 31 + -31 + -9u = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -9u = -14 + -31 -9u = -14 + -31 Combine like terms: -14 + -31 = -45 -9u = -45 Divide each side by '-9'. u = 5 Simplifying u = 5
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