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Simplifying 2.5p(2 + 5) = 5p + 12.5 Combine like terms: 2 + 5 = 7 2.5p(7) = 5p + 12.5 Reorder the terms for easier multiplication: 2.5 * 7p = 5p + 12.5 Multiply 2.5 * 7 17.5p = 5p + 12.5 Reorder the terms: 17.5p = 12.5 + 5p Solving 17.5p = 12.5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 17.5p + -5p = 12.5 + 5p + -5p Combine like terms: 17.5p + -5p = 12.5p 12.5p = 12.5 + 5p + -5p Combine like terms: 5p + -5p = 0 12.5p = 12.5 + 0 12.5p = 12.5 Divide each side by '12.5'. p = 1 Simplifying p = 1
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