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Simplifying -3(u + -9) = -8u + 32 Reorder the terms: -3(-9 + u) = -8u + 32 (-9 * -3 + u * -3) = -8u + 32 (27 + -3u) = -8u + 32 Reorder the terms: 27 + -3u = 32 + -8u Solving 27 + -3u = 32 + -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. 27 + -3u + 8u = 32 + -8u + 8u Combine like terms: -3u + 8u = 5u 27 + 5u = 32 + -8u + 8u Combine like terms: -8u + 8u = 0 27 + 5u = 32 + 0 27 + 5u = 32 Add '-27' to each side of the equation. 27 + -27 + 5u = 32 + -27 Combine like terms: 27 + -27 = 0 0 + 5u = 32 + -27 5u = 32 + -27 Combine like terms: 32 + -27 = 5 5u = 5 Divide each side by '5'. u = 1 Simplifying u = 1
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