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Simplifying -5(u + -9) = -8u + 42 Reorder the terms: -5(-9 + u) = -8u + 42 (-9 * -5 + u * -5) = -8u + 42 (45 + -5u) = -8u + 42 Reorder the terms: 45 + -5u = 42 + -8u Solving 45 + -5u = 42 + -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. 45 + -5u + 8u = 42 + -8u + 8u Combine like terms: -5u + 8u = 3u 45 + 3u = 42 + -8u + 8u Combine like terms: -8u + 8u = 0 45 + 3u = 42 + 0 45 + 3u = 42 Add '-45' to each side of the equation. 45 + -45 + 3u = 42 + -45 Combine like terms: 45 + -45 = 0 0 + 3u = 42 + -45 3u = 42 + -45 Combine like terms: 42 + -45 = -3 3u = -3 Divide each side by '3'. u = -1 Simplifying u = -1
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