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Simplifying -8 = 5(u + 2) + -8u Reorder the terms: -8 = 5(2 + u) + -8u -8 = (2 * 5 + u * 5) + -8u -8 = (10 + 5u) + -8u Combine like terms: 5u + -8u = -3u -8 = 10 + -3u Solving -8 = 10 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -8 + 3u = 10 + -3u + 3u Combine like terms: -3u + 3u = 0 -8 + 3u = 10 + 0 -8 + 3u = 10 Add '8' to each side of the equation. -8 + 8 + 3u = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3u = 10 + 8 3u = 10 + 8 Combine like terms: 10 + 8 = 18 3u = 18 Divide each side by '3'. u = 6 Simplifying u = 6
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