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Simplifying -5(u + -6) = -8u + 39 Reorder the terms: -5(-6 + u) = -8u + 39 (-6 * -5 + u * -5) = -8u + 39 (30 + -5u) = -8u + 39 Reorder the terms: 30 + -5u = 39 + -8u Solving 30 + -5u = 39 + -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. 30 + -5u + 8u = 39 + -8u + 8u Combine like terms: -5u + 8u = 3u 30 + 3u = 39 + -8u + 8u Combine like terms: -8u + 8u = 0 30 + 3u = 39 + 0 30 + 3u = 39 Add '-30' to each side of the equation. 30 + -30 + 3u = 39 + -30 Combine like terms: 30 + -30 = 0 0 + 3u = 39 + -30 3u = 39 + -30 Combine like terms: 39 + -30 = 9 3u = 9 Divide each side by '3'. u = 3 Simplifying u = 3
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