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Simplifying 4u + 8 + -2(-4u + -3) = 2(u + -1) Reorder the terms: 4u + 8 + -2(-3 + -4u) = 2(u + -1) 4u + 8 + (-3 * -2 + -4u * -2) = 2(u + -1) 4u + 8 + (6 + 8u) = 2(u + -1) Reorder the terms: 8 + 6 + 4u + 8u = 2(u + -1) Combine like terms: 8 + 6 = 14 14 + 4u + 8u = 2(u + -1) Combine like terms: 4u + 8u = 12u 14 + 12u = 2(u + -1) Reorder the terms: 14 + 12u = 2(-1 + u) 14 + 12u = (-1 * 2 + u * 2) 14 + 12u = (-2 + 2u) Solving 14 + 12u = -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 + 12u + -2u = -2 + 2u + -2u Combine like terms: 12u + -2u = 10u 14 + 10u = -2 + 2u + -2u Combine like terms: 2u + -2u = 0 14 + 10u = -2 + 0 14 + 10u = -2 Add '-14' to each side of the equation. 14 + -14 + 10u = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 10u = -2 + -14 10u = -2 + -14 Combine like terms: -2 + -14 = -16 10u = -16 Divide each side by '10'. u = -1.6 Simplifying u = -1.6
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