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Simplifying 7u + 51 = 4u + 342 Reorder the terms: 51 + 7u = 4u + 342 Reorder the terms: 51 + 7u = 342 + 4u Solving 51 + 7u = 342 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 51 + 7u + -4u = 342 + 4u + -4u Combine like terms: 7u + -4u = 3u 51 + 3u = 342 + 4u + -4u Combine like terms: 4u + -4u = 0 51 + 3u = 342 + 0 51 + 3u = 342 Add '-51' to each side of the equation. 51 + -51 + 3u = 342 + -51 Combine like terms: 51 + -51 = 0 0 + 3u = 342 + -51 3u = 342 + -51 Combine like terms: 342 + -51 = 291 3u = 291 Divide each side by '3'. u = 97 Simplifying u = 97
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