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Simplifying 9(9u + 45) + 8 = 6(6u + 24) + 9 Reorder the terms: 9(45 + 9u) + 8 = 6(6u + 24) + 9 (45 * 9 + 9u * 9) + 8 = 6(6u + 24) + 9 (405 + 81u) + 8 = 6(6u + 24) + 9 Reorder the terms: 405 + 8 + 81u = 6(6u + 24) + 9 Combine like terms: 405 + 8 = 413 413 + 81u = 6(6u + 24) + 9 Reorder the terms: 413 + 81u = 6(24 + 6u) + 9 413 + 81u = (24 * 6 + 6u * 6) + 9 413 + 81u = (144 + 36u) + 9 Reorder the terms: 413 + 81u = 144 + 9 + 36u Combine like terms: 144 + 9 = 153 413 + 81u = 153 + 36u Solving 413 + 81u = 153 + 36u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-36u' to each side of the equation. 413 + 81u + -36u = 153 + 36u + -36u Combine like terms: 81u + -36u = 45u 413 + 45u = 153 + 36u + -36u Combine like terms: 36u + -36u = 0 413 + 45u = 153 + 0 413 + 45u = 153 Add '-413' to each side of the equation. 413 + -413 + 45u = 153 + -413 Combine like terms: 413 + -413 = 0 0 + 45u = 153 + -413 45u = 153 + -413 Combine like terms: 153 + -413 = -260 45u = -260 Divide each side by '45'. u = -5.777777778 Simplifying u = -5.777777778
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