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Simplifying -5u + 12u + 9 = 4u + 42 Reorder the terms: 9 + -5u + 12u = 4u + 42 Combine like terms: -5u + 12u = 7u 9 + 7u = 4u + 42 Reorder the terms: 9 + 7u = 42 + 4u Solving 9 + 7u = 42 + 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. 9 + 7u + -4u = 42 + 4u + -4u Combine like terms: 7u + -4u = 3u 9 + 3u = 42 + 4u + -4u Combine like terms: 4u + -4u = 0 9 + 3u = 42 + 0 9 + 3u = 42 Add '-9' to each side of the equation. 9 + -9 + 3u = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 3u = 42 + -9 3u = 42 + -9 Combine like terms: 42 + -9 = 33 3u = 33 Divide each side by '3'. u = 11 Simplifying u = 11
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