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Simplifying -31 = 3(u + 3) + 5u Reorder the terms: -31 = 3(3 + u) + 5u -31 = (3 * 3 + u * 3) + 5u -31 = (9 + 3u) + 5u Combine like terms: 3u + 5u = 8u -31 = 9 + 8u Solving -31 = 9 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -31 + -8u = 9 + 8u + -8u Combine like terms: 8u + -8u = 0 -31 + -8u = 9 + 0 -31 + -8u = 9 Add '31' to each side of the equation. -31 + 31 + -8u = 9 + 31 Combine like terms: -31 + 31 = 0 0 + -8u = 9 + 31 -8u = 9 + 31 Combine like terms: 9 + 31 = 40 -8u = 40 Divide each side by '-8'. u = -5 Simplifying u = -5
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