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Simplifying 5(4p + 5) = 65 Reorder the terms: 5(5 + 4p) = 65 (5 * 5 + 4p * 5) = 65 (25 + 20p) = 65 Solving 25 + 20p = 65 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 20p = 65 + -25 Combine like terms: 25 + -25 = 0 0 + 20p = 65 + -25 20p = 65 + -25 Combine like terms: 65 + -25 = 40 20p = 40 Divide each side by '20'. p = 2 Simplifying p = 2
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