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Simplifying 2u + 6 + -4(-3u + -2) = 2(u + -1) Reorder the terms: 2u + 6 + -4(-2 + -3u) = 2(u + -1) 2u + 6 + (-2 * -4 + -3u * -4) = 2(u + -1) 2u + 6 + (8 + 12u) = 2(u + -1) Reorder the terms: 6 + 8 + 2u + 12u = 2(u + -1) Combine like terms: 6 + 8 = 14 14 + 2u + 12u = 2(u + -1) Combine like terms: 2u + 12u = 14u 14 + 14u = 2(u + -1) Reorder the terms: 14 + 14u = 2(-1 + u) 14 + 14u = (-1 * 2 + u * 2) 14 + 14u = (-2 + 2u) Solving 14 + 14u = -2 + 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. 14 + 14u + -2u = -2 + 2u + -2u Combine like terms: 14u + -2u = 12u 14 + 12u = -2 + 2u + -2u Combine like terms: 2u + -2u = 0 14 + 12u = -2 + 0 14 + 12u = -2 Add '-14' to each side of the equation. 14 + -14 + 12u = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 12u = -2 + -14 12u = -2 + -14 Combine like terms: -2 + -14 = -16 12u = -16 Divide each side by '12'. u = -1.333333333 Simplifying u = -1.333333333
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