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Simplifying u + -8 + 3(3u + 6) = -2(u + 4) Reorder the terms: u + -8 + 3(6 + 3u) = -2(u + 4) u + -8 + (6 * 3 + 3u * 3) = -2(u + 4) u + -8 + (18 + 9u) = -2(u + 4) Reorder the terms: -8 + 18 + u + 9u = -2(u + 4) Combine like terms: -8 + 18 = 10 10 + u + 9u = -2(u + 4) Combine like terms: u + 9u = 10u 10 + 10u = -2(u + 4) Reorder the terms: 10 + 10u = -2(4 + u) 10 + 10u = (4 * -2 + u * -2) 10 + 10u = (-8 + -2u) Solving 10 + 10u = -8 + -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. 10 + 10u + 2u = -8 + -2u + 2u Combine like terms: 10u + 2u = 12u 10 + 12u = -8 + -2u + 2u Combine like terms: -2u + 2u = 0 10 + 12u = -8 + 0 10 + 12u = -8 Add '-10' to each side of the equation. 10 + -10 + 12u = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 12u = -8 + -10 12u = -8 + -10 Combine like terms: -8 + -10 = -18 12u = -18 Divide each side by '12'. u = -1.5 Simplifying u = -1.5
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