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Simplifying 8(u + 1) = 5u + 29 Reorder the terms: 8(1 + u) = 5u + 29 (1 * 8 + u * 8) = 5u + 29 (8 + 8u) = 5u + 29 Reorder the terms: 8 + 8u = 29 + 5u Solving 8 + 8u = 29 + 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. 8 + 8u + -5u = 29 + 5u + -5u Combine like terms: 8u + -5u = 3u 8 + 3u = 29 + 5u + -5u Combine like terms: 5u + -5u = 0 8 + 3u = 29 + 0 8 + 3u = 29 Add '-8' to each side of the equation. 8 + -8 + 3u = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 3u = 29 + -8 3u = 29 + -8 Combine like terms: 29 + -8 = 21 3u = 21 Divide each side by '3'. u = 7 Simplifying u = 7
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