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Simplifying 5(u + 7) = 2u + 5 Reorder the terms: 5(7 + u) = 2u + 5 (7 * 5 + u * 5) = 2u + 5 (35 + 5u) = 2u + 5 Reorder the terms: 35 + 5u = 5 + 2u Solving 35 + 5u = 5 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 35 + 5u + -2u = 5 + 2u + -2u Combine like terms: 5u + -2u = 3u 35 + 3u = 5 + 2u + -2u Combine like terms: 2u + -2u = 0 35 + 3u = 5 + 0 35 + 3u = 5 Add '-35' to each side of the equation. 35 + -35 + 3u = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 3u = 5 + -35 3u = 5 + -35 Combine like terms: 5 + -35 = -30 3u = -30 Divide each side by '3'. u = -10 Simplifying u = -10
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