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Simplifying 24 = 5(u + 8) + -7u Reorder the terms: 24 = 5(8 + u) + -7u 24 = (8 * 5 + u * 5) + -7u 24 = (40 + 5u) + -7u Combine like terms: 5u + -7u = -2u 24 = 40 + -2u Solving 24 = 40 + -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 = 40 + -2u + 2u Combine like terms: -2u + 2u = 0 24 + 2u = 40 + 0 24 + 2u = 40 Add '-24' to each side of the equation. 24 + -24 + 2u = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 2u = 40 + -24 2u = 40 + -24 Combine like terms: 40 + -24 = 16 2u = 16 Divide each side by '2'. u = 8 Simplifying u = 8
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