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Simplifying 27u + 71 = 24u + 80 Reorder the terms: 71 + 27u = 24u + 80 Reorder the terms: 71 + 27u = 80 + 24u Solving 71 + 27u = 80 + 24u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-24u' to each side of the equation. 71 + 27u + -24u = 80 + 24u + -24u Combine like terms: 27u + -24u = 3u 71 + 3u = 80 + 24u + -24u Combine like terms: 24u + -24u = 0 71 + 3u = 80 + 0 71 + 3u = 80 Add '-71' to each side of the equation. 71 + -71 + 3u = 80 + -71 Combine like terms: 71 + -71 = 0 0 + 3u = 80 + -71 3u = 80 + -71 Combine like terms: 80 + -71 = 9 3u = 9 Divide each side by '3'. u = 3 Simplifying u = 3
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