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Simplifying -5(u + 6) = -8u + -9 Reorder the terms: -5(6 + u) = -8u + -9 (6 * -5 + u * -5) = -8u + -9 (-30 + -5u) = -8u + -9 Reorder the terms: -30 + -5u = -9 + -8u Solving -30 + -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. -30 + -5u + 8u = -9 + -8u + 8u Combine like terms: -5u + 8u = 3u -30 + 3u = -9 + -8u + 8u Combine like terms: -8u + 8u = 0 -30 + 3u = -9 + 0 -30 + 3u = -9 Add '30' to each side of the equation. -30 + 30 + 3u = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 3u = -9 + 30 3u = -9 + 30 Combine like terms: -9 + 30 = 21 3u = 21 Divide each side by '3'. u = 7 Simplifying u = 7
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