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Simplifying u + -8 + 5u = 3u + 10 Reorder the terms: -8 + u + 5u = 3u + 10 Combine like terms: u + 5u = 6u -8 + 6u = 3u + 10 Reorder the terms: -8 + 6u = 10 + 3u Solving -8 + 6u = 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 + 6u + -3u = 10 + 3u + -3u Combine like terms: 6u + -3u = 3u -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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