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Simplifying 31 = 4(u + 7) + -7u Reorder the terms: 31 = 4(7 + u) + -7u 31 = (7 * 4 + u * 4) + -7u 31 = (28 + 4u) + -7u Combine like terms: 4u + -7u = -3u 31 = 28 + -3u Solving 31 = 28 + -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 + 3u = 28 + -3u + 3u Combine like terms: -3u + 3u = 0 31 + 3u = 28 + 0 31 + 3u = 28 Add '-31' to each side of the equation. 31 + -31 + 3u = 28 + -31 Combine like terms: 31 + -31 = 0 0 + 3u = 28 + -31 3u = 28 + -31 Combine like terms: 28 + -31 = -3 3u = -3 Divide each side by '3'. u = -1 Simplifying u = -1
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