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Simplifying 2(u + 2) = 5u + 31 Reorder the terms: 2(2 + u) = 5u + 31 (2 * 2 + u * 2) = 5u + 31 (4 + 2u) = 5u + 31 Reorder the terms: 4 + 2u = 31 + 5u Solving 4 + 2u = 31 + 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. 4 + 2u + -5u = 31 + 5u + -5u Combine like terms: 2u + -5u = -3u 4 + -3u = 31 + 5u + -5u Combine like terms: 5u + -5u = 0 4 + -3u = 31 + 0 4 + -3u = 31 Add '-4' to each side of the equation. 4 + -4 + -3u = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 31 + -4 -3u = 31 + -4 Combine like terms: 31 + -4 = 27 -3u = 27 Divide each side by '-3'. u = -9 Simplifying u = -9
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