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Simplifying 2(u + 9) = 9u + -31 Reorder the terms: 2(9 + u) = 9u + -31 (9 * 2 + u * 2) = 9u + -31 (18 + 2u) = 9u + -31 Reorder the terms: 18 + 2u = -31 + 9u Solving 18 + 2u = -31 + 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. 18 + 2u + -9u = -31 + 9u + -9u Combine like terms: 2u + -9u = -7u 18 + -7u = -31 + 9u + -9u Combine like terms: 9u + -9u = 0 18 + -7u = -31 + 0 18 + -7u = -31 Add '-18' to each side of the equation. 18 + -18 + -7u = -31 + -18 Combine like terms: 18 + -18 = 0 0 + -7u = -31 + -18 -7u = -31 + -18 Combine like terms: -31 + -18 = -49 -7u = -49 Divide each side by '-7'. u = 7 Simplifying u = 7
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