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Simplifying 2u + 31 = 5u + 40 Reorder the terms: 31 + 2u = 5u + 40 Reorder the terms: 31 + 2u = 40 + 5u Solving 31 + 2u = 40 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 31 + 2u + -5u = 40 + 5u + -5u Combine like terms: 2u + -5u = -3u 31 + -3u = 40 + 5u + -5u Combine like terms: 5u + -5u = 0 31 + -3u = 40 + 0 31 + -3u = 40 Add '-31' to each side of the equation. 31 + -31 + -3u = 40 + -31 Combine like terms: 31 + -31 = 0 0 + -3u = 40 + -31 -3u = 40 + -31 Combine like terms: 40 + -31 = 9 -3u = 9 Divide each side by '-3'. u = -3 Simplifying u = -3
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