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Simplifying -31 = 3(u + 3) + 7u Reorder the terms: -31 = 3(3 + u) + 7u -31 = (3 * 3 + u * 3) + 7u -31 = (9 + 3u) + 7u Combine like terms: 3u + 7u = 10u -31 = 9 + 10u Solving -31 = 9 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -31 + -10u = 9 + 10u + -10u Combine like terms: 10u + -10u = 0 -31 + -10u = 9 + 0 -31 + -10u = 9 Add '31' to each side of the equation. -31 + 31 + -10u = 9 + 31 Combine like terms: -31 + 31 = 0 0 + -10u = 9 + 31 -10u = 9 + 31 Combine like terms: 9 + 31 = 40 -10u = 40 Divide each side by '-10'. u = -4 Simplifying u = -4
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