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Simplifying 3.50p + 5.50p + 6.00 = 51.00 Reorder the terms: 6.00 + 3.50p + 5.50p = 51.00 Combine like terms: 3.50p + 5.50p = 9p 6.00 + 9p = 51.00 Solving 6.00 + 9p = 51.00 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6.00' to each side of the equation. 6.00 + -6.00 + 9p = 51.00 + -6.00 Combine like terms: 6.00 + -6.00 = 0.00 0.00 + 9p = 51.00 + -6.00 9p = 51.00 + -6.00 Combine like terms: 51.00 + -6.00 = 45 9p = 45 Divide each side by '9'. p = 5 Simplifying p = 5
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