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Simplifying -3(u + 3) = 8u + 24 Reorder the terms: -3(3 + u) = 8u + 24 (3 * -3 + u * -3) = 8u + 24 (-9 + -3u) = 8u + 24 Reorder the terms: -9 + -3u = 24 + 8u Solving -9 + -3u = 24 + 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. -9 + -3u + -8u = 24 + 8u + -8u Combine like terms: -3u + -8u = -11u -9 + -11u = 24 + 8u + -8u Combine like terms: 8u + -8u = 0 -9 + -11u = 24 + 0 -9 + -11u = 24 Add '9' to each side of the equation. -9 + 9 + -11u = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -11u = 24 + 9 -11u = 24 + 9 Combine like terms: 24 + 9 = 33 -11u = 33 Divide each side by '-11'. u = -3 Simplifying u = -3
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