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Simplifying 3u + -1 + 2(5u + 3) = -5(u + 2) Reorder the terms: 3u + -1 + 2(3 + 5u) = -5(u + 2) 3u + -1 + (3 * 2 + 5u * 2) = -5(u + 2) 3u + -1 + (6 + 10u) = -5(u + 2) Reorder the terms: -1 + 6 + 3u + 10u = -5(u + 2) Combine like terms: -1 + 6 = 5 5 + 3u + 10u = -5(u + 2) Combine like terms: 3u + 10u = 13u 5 + 13u = -5(u + 2) Reorder the terms: 5 + 13u = -5(2 + u) 5 + 13u = (2 * -5 + u * -5) 5 + 13u = (-10 + -5u) Solving 5 + 13u = -10 + -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. 5 + 13u + 5u = -10 + -5u + 5u Combine like terms: 13u + 5u = 18u 5 + 18u = -10 + -5u + 5u Combine like terms: -5u + 5u = 0 5 + 18u = -10 + 0 5 + 18u = -10 Add '-5' to each side of the equation. 5 + -5 + 18u = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 18u = -10 + -5 18u = -10 + -5 Combine like terms: -10 + -5 = -15 18u = -15 Divide each side by '18'. u = -0.8333333333 Simplifying u = -0.8333333333
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