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Simplifying 4(u + 6) = -5(2u + -6) + 6u Reorder the terms: 4(6 + u) = -5(2u + -6) + 6u (6 * 4 + u * 4) = -5(2u + -6) + 6u (24 + 4u) = -5(2u + -6) + 6u Reorder the terms: 24 + 4u = -5(-6 + 2u) + 6u 24 + 4u = (-6 * -5 + 2u * -5) + 6u 24 + 4u = (30 + -10u) + 6u Combine like terms: -10u + 6u = -4u 24 + 4u = 30 + -4u Solving 24 + 4u = 30 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 24 + 4u + 4u = 30 + -4u + 4u Combine like terms: 4u + 4u = 8u 24 + 8u = 30 + -4u + 4u Combine like terms: -4u + 4u = 0 24 + 8u = 30 + 0 24 + 8u = 30 Add '-24' to each side of the equation. 24 + -24 + 8u = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 8u = 30 + -24 8u = 30 + -24 Combine like terms: 30 + -24 = 6 8u = 6 Divide each side by '8'. u = 0.75 Simplifying u = 0.75
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