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Simplifying -9u + 24 = 3(u + -8) Reorder the terms: 24 + -9u = 3(u + -8) Reorder the terms: 24 + -9u = 3(-8 + u) 24 + -9u = (-8 * 3 + u * 3) 24 + -9u = (-24 + 3u) Solving 24 + -9u = -24 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 24 + -9u + -3u = -24 + 3u + -3u Combine like terms: -9u + -3u = -12u 24 + -12u = -24 + 3u + -3u Combine like terms: 3u + -3u = 0 24 + -12u = -24 + 0 24 + -12u = -24 Add '-24' to each side of the equation. 24 + -24 + -12u = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -12u = -24 + -24 -12u = -24 + -24 Combine like terms: -24 + -24 = -48 -12u = -48 Divide each side by '-12'. u = 4 Simplifying u = 4
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