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Simplifying 2.5(3p + 5) = 5p + 12.5 Reorder the terms: 2.5(5 + 3p) = 5p + 12.5 (5 * 2.5 + 3p * 2.5) = 5p + 12.5 (12.5 + 7.5p) = 5p + 12.5 Reorder the terms: 12.5 + 7.5p = 12.5 + 5p Add '-12.5' to each side of the equation. 12.5 + -12.5 + 7.5p = 12.5 + -12.5 + 5p Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 7.5p = 12.5 + -12.5 + 5p 7.5p = 12.5 + -12.5 + 5p Combine like terms: 12.5 + -12.5 = 0.0 7.5p = 0.0 + 5p 7.5p = 5p Solving 7.5p = 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. 7.5p + -5p = 5p + -5p Combine like terms: 7.5p + -5p = 2.5p 2.5p = 5p + -5p Combine like terms: 5p + -5p = 0 2.5p = 0 Divide each side by '2.5'. p = 0 Simplifying p = 0
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