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Simplifying 8 = -8u + 5(u + 7) Reorder the terms: 8 = -8u + 5(7 + u) 8 = -8u + (7 * 5 + u * 5) 8 = -8u + (35 + 5u) Reorder the terms: 8 = 35 + -8u + 5u Combine like terms: -8u + 5u = -3u 8 = 35 + -3u Solving 8 = 35 + -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. 8 + 3u = 35 + -3u + 3u Combine like terms: -3u + 3u = 0 8 + 3u = 35 + 0 8 + 3u = 35 Add '-8' to each side of the equation. 8 + -8 + 3u = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 3u = 35 + -8 3u = 35 + -8 Combine like terms: 35 + -8 = 27 3u = 27 Divide each side by '3'. u = 9 Simplifying u = 9
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