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Simplifying 5u + -7 + 3(3u + 5) = -2(u + 5) Reorder the terms: 5u + -7 + 3(5 + 3u) = -2(u + 5) 5u + -7 + (5 * 3 + 3u * 3) = -2(u + 5) 5u + -7 + (15 + 9u) = -2(u + 5) Reorder the terms: -7 + 15 + 5u + 9u = -2(u + 5) Combine like terms: -7 + 15 = 8 8 + 5u + 9u = -2(u + 5) Combine like terms: 5u + 9u = 14u 8 + 14u = -2(u + 5) Reorder the terms: 8 + 14u = -2(5 + u) 8 + 14u = (5 * -2 + u * -2) 8 + 14u = (-10 + -2u) Solving 8 + 14u = -10 + -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. 8 + 14u + 2u = -10 + -2u + 2u Combine like terms: 14u + 2u = 16u 8 + 16u = -10 + -2u + 2u Combine like terms: -2u + 2u = 0 8 + 16u = -10 + 0 8 + 16u = -10 Add '-8' to each side of the equation. 8 + -8 + 16u = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 16u = -10 + -8 16u = -10 + -8 Combine like terms: -10 + -8 = -18 16u = -18 Divide each side by '16'. u = -1.125 Simplifying u = -1.125
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