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Simplifying 4u + 3 + -5(-2u + -1) = 6(u + -1) Reorder the terms: 4u + 3 + -5(-1 + -2u) = 6(u + -1) 4u + 3 + (-1 * -5 + -2u * -5) = 6(u + -1) 4u + 3 + (5 + 10u) = 6(u + -1) Reorder the terms: 3 + 5 + 4u + 10u = 6(u + -1) Combine like terms: 3 + 5 = 8 8 + 4u + 10u = 6(u + -1) Combine like terms: 4u + 10u = 14u 8 + 14u = 6(u + -1) Reorder the terms: 8 + 14u = 6(-1 + u) 8 + 14u = (-1 * 6 + u * 6) 8 + 14u = (-6 + 6u) Solving 8 + 14u = -6 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 8 + 14u + -6u = -6 + 6u + -6u Combine like terms: 14u + -6u = 8u 8 + 8u = -6 + 6u + -6u Combine like terms: 6u + -6u = 0 8 + 8u = -6 + 0 8 + 8u = -6 Add '-8' to each side of the equation. 8 + -8 + 8u = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 8u = -6 + -8 8u = -6 + -8 Combine like terms: -6 + -8 = -14 8u = -14 Divide each side by '8'. u = -1.75 Simplifying u = -1.75
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