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Simplifying 6(66u + -6) + 5 = 29 + 6u Reorder the terms: 6(-6 + 66u) + 5 = 29 + 6u (-6 * 6 + 66u * 6) + 5 = 29 + 6u (-36 + 396u) + 5 = 29 + 6u Reorder the terms: -36 + 5 + 396u = 29 + 6u Combine like terms: -36 + 5 = -31 -31 + 396u = 29 + 6u Solving -31 + 396u = 29 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -31 + 396u + -6u = 29 + 6u + -6u Combine like terms: 396u + -6u = 390u -31 + 390u = 29 + 6u + -6u Combine like terms: 6u + -6u = 0 -31 + 390u = 29 + 0 -31 + 390u = 29 Add '31' to each side of the equation. -31 + 31 + 390u = 29 + 31 Combine like terms: -31 + 31 = 0 0 + 390u = 29 + 31 390u = 29 + 31 Combine like terms: 29 + 31 = 60 390u = 60 Divide each side by '390'. u = 0.1538461538 Simplifying u = 0.1538461538
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