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Simplifying 5(u + 8) + -8u = 31 Reorder the terms: 5(8 + u) + -8u = 31 (8 * 5 + u * 5) + -8u = 31 (40 + 5u) + -8u = 31 Combine like terms: 5u + -8u = -3u 40 + -3u = 31 Solving 40 + -3u = 31 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -3u = 31 + -40 Combine like terms: 40 + -40 = 0 0 + -3u = 31 + -40 -3u = 31 + -40 Combine like terms: 31 + -40 = -9 -3u = -9 Divide each side by '-3'. u = 3 Simplifying u = 3
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