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Simplifying 5u + -7 + 2(2u + 5) = -3(u + 5) Reorder the terms: 5u + -7 + 2(5 + 2u) = -3(u + 5) 5u + -7 + (5 * 2 + 2u * 2) = -3(u + 5) 5u + -7 + (10 + 4u) = -3(u + 5) Reorder the terms: -7 + 10 + 5u + 4u = -3(u + 5) Combine like terms: -7 + 10 = 3 3 + 5u + 4u = -3(u + 5) Combine like terms: 5u + 4u = 9u 3 + 9u = -3(u + 5) Reorder the terms: 3 + 9u = -3(5 + u) 3 + 9u = (5 * -3 + u * -3) 3 + 9u = (-15 + -3u) Solving 3 + 9u = -15 + -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. 3 + 9u + 3u = -15 + -3u + 3u Combine like terms: 9u + 3u = 12u 3 + 12u = -15 + -3u + 3u Combine like terms: -3u + 3u = 0 3 + 12u = -15 + 0 3 + 12u = -15 Add '-3' to each side of the equation. 3 + -3 + 12u = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 12u = -15 + -3 12u = -15 + -3 Combine like terms: -15 + -3 = -18 12u = -18 Divide each side by '12'. u = -1.5 Simplifying u = -1.5
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