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Simplifying 5(u + 7) = 8u + 41 Reorder the terms: 5(7 + u) = 8u + 41 (7 * 5 + u * 5) = 8u + 41 (35 + 5u) = 8u + 41 Reorder the terms: 35 + 5u = 41 + 8u Solving 35 + 5u = 41 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 35 + 5u + -8u = 41 + 8u + -8u Combine like terms: 5u + -8u = -3u 35 + -3u = 41 + 8u + -8u Combine like terms: 8u + -8u = 0 35 + -3u = 41 + 0 35 + -3u = 41 Add '-35' to each side of the equation. 35 + -35 + -3u = 41 + -35 Combine like terms: 35 + -35 = 0 0 + -3u = 41 + -35 -3u = 41 + -35 Combine like terms: 41 + -35 = 6 -3u = 6 Divide each side by '-3'. u = -2 Simplifying u = -2
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