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Simplifying 6(6u + -6) + 5 = 29 + 6u Reorder the terms: 6(-6 + 6u) + 5 = 29 + 6u (-6 * 6 + 6u * 6) + 5 = 29 + 6u (-36 + 36u) + 5 = 29 + 6u Reorder the terms: -36 + 5 + 36u = 29 + 6u Combine like terms: -36 + 5 = -31 -31 + 36u = 29 + 6u Solving -31 + 36u = 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 + 36u + -6u = 29 + 6u + -6u Combine like terms: 36u + -6u = 30u -31 + 30u = 29 + 6u + -6u Combine like terms: 6u + -6u = 0 -31 + 30u = 29 + 0 -31 + 30u = 29 Add '31' to each side of the equation. -31 + 31 + 30u = 29 + 31 Combine like terms: -31 + 31 = 0 0 + 30u = 29 + 31 30u = 29 + 31 Combine like terms: 29 + 31 = 60 30u = 60 Divide each side by '30'. u = 2 Simplifying u = 2
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