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Simplifying 3u + -8 + 2(6u + 5) = -3(u + 2) Reorder the terms: 3u + -8 + 2(5 + 6u) = -3(u + 2) 3u + -8 + (5 * 2 + 6u * 2) = -3(u + 2) 3u + -8 + (10 + 12u) = -3(u + 2) Reorder the terms: -8 + 10 + 3u + 12u = -3(u + 2) Combine like terms: -8 + 10 = 2 2 + 3u + 12u = -3(u + 2) Combine like terms: 3u + 12u = 15u 2 + 15u = -3(u + 2) Reorder the terms: 2 + 15u = -3(2 + u) 2 + 15u = (2 * -3 + u * -3) 2 + 15u = (-6 + -3u) Solving 2 + 15u = -6 + -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. 2 + 15u + 3u = -6 + -3u + 3u Combine like terms: 15u + 3u = 18u 2 + 18u = -6 + -3u + 3u Combine like terms: -3u + 3u = 0 2 + 18u = -6 + 0 2 + 18u = -6 Add '-2' to each side of the equation. 2 + -2 + 18u = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 18u = -6 + -2 18u = -6 + -2 Combine like terms: -6 + -2 = -8 18u = -8 Divide each side by '18'. u = -0.4444444444 Simplifying u = -0.4444444444
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