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Simplifying 6u + 6 + -2(-4u + -1) = 2(u + -3) Reorder the terms: 6u + 6 + -2(-1 + -4u) = 2(u + -3) 6u + 6 + (-1 * -2 + -4u * -2) = 2(u + -3) 6u + 6 + (2 + 8u) = 2(u + -3) Reorder the terms: 6 + 2 + 6u + 8u = 2(u + -3) Combine like terms: 6 + 2 = 8 8 + 6u + 8u = 2(u + -3) Combine like terms: 6u + 8u = 14u 8 + 14u = 2(u + -3) Reorder the terms: 8 + 14u = 2(-3 + u) 8 + 14u = (-3 * 2 + u * 2) 8 + 14u = (-6 + 2u) Solving 8 + 14u = -6 + 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. 8 + 14u + -2u = -6 + 2u + -2u Combine like terms: 14u + -2u = 12u 8 + 12u = -6 + 2u + -2u Combine like terms: 2u + -2u = 0 8 + 12u = -6 + 0 8 + 12u = -6 Add '-8' to each side of the equation. 8 + -8 + 12u = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 12u = -6 + -8 12u = -6 + -8 Combine like terms: -6 + -8 = -14 12u = -14 Divide each side by '12'. u = -1.166666667 Simplifying u = -1.166666667
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