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Simplifying 9u + 3 + -3(-2u + -4) = 3(u + -1) Reorder the terms: 9u + 3 + -3(-4 + -2u) = 3(u + -1) 9u + 3 + (-4 * -3 + -2u * -3) = 3(u + -1) 9u + 3 + (12 + 6u) = 3(u + -1) Reorder the terms: 3 + 12 + 9u + 6u = 3(u + -1) Combine like terms: 3 + 12 = 15 15 + 9u + 6u = 3(u + -1) Combine like terms: 9u + 6u = 15u 15 + 15u = 3(u + -1) Reorder the terms: 15 + 15u = 3(-1 + u) 15 + 15u = (-1 * 3 + u * 3) 15 + 15u = (-3 + 3u) Solving 15 + 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. 15 + 15u + -3u = -3 + 3u + -3u Combine like terms: 15u + -3u = 12u 15 + 12u = -3 + 3u + -3u Combine like terms: 3u + -3u = 0 15 + 12u = -3 + 0 15 + 12u = -3 Add '-15' to each side of the equation. 15 + -15 + 12u = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 12u = -3 + -15 12u = -3 + -15 Combine like terms: -3 + -15 = -18 12u = -18 Divide each side by '12'. u = -1.5 Simplifying u = -1.5
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