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Simplifying -5(u + -3) = -8u + 9 Reorder the terms: -5(-3 + u) = -8u + 9 (-3 * -5 + u * -5) = -8u + 9 (15 + -5u) = -8u + 9 Reorder the terms: 15 + -5u = 9 + -8u Solving 15 + -5u = 9 + -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. 15 + -5u + 8u = 9 + -8u + 8u Combine like terms: -5u + 8u = 3u 15 + 3u = 9 + -8u + 8u Combine like terms: -8u + 8u = 0 15 + 3u = 9 + 0 15 + 3u = 9 Add '-15' to each side of the equation. 15 + -15 + 3u = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 3u = 9 + -15 3u = 9 + -15 Combine like terms: 9 + -15 = -6 3u = -6 Divide each side by '3'. u = -2 Simplifying u = -2
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