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Simplifying 8u + 29 = 5(u + 7) Reorder the terms: 29 + 8u = 5(u + 7) Reorder the terms: 29 + 8u = 5(7 + u) 29 + 8u = (7 * 5 + u * 5) 29 + 8u = (35 + 5u) Solving 29 + 8u = 35 + 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. 29 + 8u + -5u = 35 + 5u + -5u Combine like terms: 8u + -5u = 3u 29 + 3u = 35 + 5u + -5u Combine like terms: 5u + -5u = 0 29 + 3u = 35 + 0 29 + 3u = 35 Add '-29' to each side of the equation. 29 + -29 + 3u = 35 + -29 Combine like terms: 29 + -29 = 0 0 + 3u = 35 + -29 3u = 35 + -29 Combine like terms: 35 + -29 = 6 3u = 6 Divide each side by '3'. u = 2 Simplifying u = 2
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