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Simplifying 3u + 24 = -5(u + -8) Reorder the terms: 24 + 3u = -5(u + -8) Reorder the terms: 24 + 3u = -5(-8 + u) 24 + 3u = (-8 * -5 + u * -5) 24 + 3u = (40 + -5u) Solving 24 + 3u = 40 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 24 + 3u + 5u = 40 + -5u + 5u Combine like terms: 3u + 5u = 8u 24 + 8u = 40 + -5u + 5u Combine like terms: -5u + 5u = 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 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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