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Simplifying -3(u + 8) = -5u + -12 Reorder the terms: -3(8 + u) = -5u + -12 (8 * -3 + u * -3) = -5u + -12 (-24 + -3u) = -5u + -12 Reorder the terms: -24 + -3u = -12 + -5u Solving -24 + -3u = -12 + -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 = -12 + -5u + 5u Combine like terms: -3u + 5u = 2u -24 + 2u = -12 + -5u + 5u Combine like terms: -5u + 5u = 0 -24 + 2u = -12 + 0 -24 + 2u = -12 Add '24' to each side of the equation. -24 + 24 + 2u = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 2u = -12 + 24 2u = -12 + 24 Combine like terms: -12 + 24 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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