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Simplifying 5u + -6 + 5(2u + 3) = -3(u + 1) Reorder the terms: 5u + -6 + 5(3 + 2u) = -3(u + 1) 5u + -6 + (3 * 5 + 2u * 5) = -3(u + 1) 5u + -6 + (15 + 10u) = -3(u + 1) Reorder the terms: -6 + 15 + 5u + 10u = -3(u + 1) Combine like terms: -6 + 15 = 9 9 + 5u + 10u = -3(u + 1) Combine like terms: 5u + 10u = 15u 9 + 15u = -3(u + 1) Reorder the terms: 9 + 15u = -3(1 + u) 9 + 15u = (1 * -3 + u * -3) 9 + 15u = (-3 + -3u) Solving 9 + 15u = -3 + -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. 9 + 15u + 3u = -3 + -3u + 3u Combine like terms: 15u + 3u = 18u 9 + 18u = -3 + -3u + 3u Combine like terms: -3u + 3u = 0 9 + 18u = -3 + 0 9 + 18u = -3 Add '-9' to each side of the equation. 9 + -9 + 18u = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 18u = -3 + -9 18u = -3 + -9 Combine like terms: -3 + -9 = -12 18u = -12 Divide each side by '18'. u = -0.6666666667 Simplifying u = -0.6666666667
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