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Simplifying -3(u + -8) = 5(u + 1) Reorder the terms: -3(-8 + u) = 5(u + 1) (-8 * -3 + u * -3) = 5(u + 1) (24 + -3u) = 5(u + 1) Reorder the terms: 24 + -3u = 5(1 + u) 24 + -3u = (1 * 5 + u * 5) 24 + -3u = (5 + 5u) Solving 24 + -3u = 5 + 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 = 5 + 5u + -5u Combine like terms: -3u + -5u = -8u 24 + -8u = 5 + 5u + -5u Combine like terms: 5u + -5u = 0 24 + -8u = 5 + 0 24 + -8u = 5 Add '-24' to each side of the equation. 24 + -24 + -8u = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -8u = 5 + -24 -8u = 5 + -24 Combine like terms: 5 + -24 = -19 -8u = -19 Divide each side by '-8'. u = 2.375 Simplifying u = 2.375
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