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Simplifying 25p + 10(1 + -1p) = 5p + 15(1 + -1p) 25p + (1 * 10 + -1p * 10) = 5p + 15(1 + -1p) 25p + (10 + -10p) = 5p + 15(1 + -1p) Reorder the terms: 10 + 25p + -10p = 5p + 15(1 + -1p) Combine like terms: 25p + -10p = 15p 10 + 15p = 5p + 15(1 + -1p) 10 + 15p = 5p + (1 * 15 + -1p * 15) 10 + 15p = 5p + (15 + -15p) Reorder the terms: 10 + 15p = 15 + 5p + -15p Combine like terms: 5p + -15p = -10p 10 + 15p = 15 + -10p Solving 10 + 15p = 15 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 10 + 15p + 10p = 15 + -10p + 10p Combine like terms: 15p + 10p = 25p 10 + 25p = 15 + -10p + 10p Combine like terms: -10p + 10p = 0 10 + 25p = 15 + 0 10 + 25p = 15 Add '-10' to each side of the equation. 10 + -10 + 25p = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 25p = 15 + -10 25p = 15 + -10 Combine like terms: 15 + -10 = 5 25p = 5 Divide each side by '25'. p = 0.2 Simplifying p = 0.2
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