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Simplifying 5(2p + 5) = 5p + 12.5 Reorder the terms: 5(5 + 2p) = 5p + 12.5 (5 * 5 + 2p * 5) = 5p + 12.5 (25 + 10p) = 5p + 12.5 Reorder the terms: 25 + 10p = 12.5 + 5p Solving 25 + 10p = 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. 25 + 10p + -5p = 12.5 + 5p + -5p Combine like terms: 10p + -5p = 5p 25 + 5p = 12.5 + 5p + -5p Combine like terms: 5p + -5p = 0 25 + 5p = 12.5 + 0 25 + 5p = 12.5 Add '-25' to each side of the equation. 25 + -25 + 5p = 12.5 + -25 Combine like terms: 25 + -25 = 0 0 + 5p = 12.5 + -25 5p = 12.5 + -25 Combine like terms: 12.5 + -25 = -12.5 5p = -12.5 Divide each side by '5'. p = -2.5 Simplifying p = -2.5
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