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Simplifying 31 = 3u + 2(u + -2) Reorder the terms: 31 = 3u + 2(-2 + u) 31 = 3u + (-2 * 2 + u * 2) 31 = 3u + (-4 + 2u) Reorder the terms: 31 = -4 + 3u + 2u Combine like terms: 3u + 2u = 5u 31 = -4 + 5u Solving 31 = -4 + 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 + -5u = -4 + 5u + -5u Combine like terms: 5u + -5u = 0 31 + -5u = -4 + 0 31 + -5u = -4 Add '-31' to each side of the equation. 31 + -31 + -5u = -4 + -31 Combine like terms: 31 + -31 = 0 0 + -5u = -4 + -31 -5u = -4 + -31 Combine like terms: -4 + -31 = -35 -5u = -35 Divide each side by '-5'. u = 7 Simplifying u = 7
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