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