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Simplifying 24 = 6(u + 6) + -8u Reorder the terms: 24 = 6(6 + u) + -8u 24 = (6 * 6 + u * 6) + -8u 24 = (36 + 6u) + -8u Combine like terms: 6u + -8u = -2u 24 = 36 + -2u Solving 24 = 36 + -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. 24 + 2u = 36 + -2u + 2u Combine like terms: -2u + 2u = 0 24 + 2u = 36 + 0 24 + 2u = 36 Add '-24' to each side of the equation. 24 + -24 + 2u = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 2u = 36 + -24 2u = 36 + -24 Combine like terms: 36 + -24 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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