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Simplifying -24 = 3u + 5(u + 8) Reorder the terms: -24 = 3u + 5(8 + u) -24 = 3u + (8 * 5 + u * 5) -24 = 3u + (40 + 5u) Reorder the terms: -24 = 40 + 3u + 5u Combine like terms: 3u + 5u = 8u -24 = 40 + 8u Solving -24 = 40 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -24 + -8u = 40 + 8u + -8u Combine like terms: 8u + -8u = 0 -24 + -8u = 40 + 0 -24 + -8u = 40 Add '24' to each side of the equation. -24 + 24 + -8u = 40 + 24 Combine like terms: -24 + 24 = 0 0 + -8u = 40 + 24 -8u = 40 + 24 Combine like terms: 40 + 24 = 64 -8u = 64 Divide each side by '-8'. u = -8 Simplifying u = -8
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