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Simplifying 3u + 3 + -4(-3u + -2) = 3(u + -1) Reorder the terms: 3u + 3 + -4(-2 + -3u) = 3(u + -1) 3u + 3 + (-2 * -4 + -3u * -4) = 3(u + -1) 3u + 3 + (8 + 12u) = 3(u + -1) Reorder the terms: 3 + 8 + 3u + 12u = 3(u + -1) Combine like terms: 3 + 8 = 11 11 + 3u + 12u = 3(u + -1) Combine like terms: 3u + 12u = 15u 11 + 15u = 3(u + -1) Reorder the terms: 11 + 15u = 3(-1 + u) 11 + 15u = (-1 * 3 + u * 3) 11 + 15u = (-3 + 3u) Solving 11 + 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. 11 + 15u + -3u = -3 + 3u + -3u Combine like terms: 15u + -3u = 12u 11 + 12u = -3 + 3u + -3u Combine like terms: 3u + -3u = 0 11 + 12u = -3 + 0 11 + 12u = -3 Add '-11' to each side of the equation. 11 + -11 + 12u = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 12u = -3 + -11 12u = -3 + -11 Combine like terms: -3 + -11 = -14 12u = -14 Divide each side by '12'. u = -1.166666667 Simplifying u = -1.166666667
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