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Simplifying 5p + 25(1 + -1p) = 30p + 15(1 + -1p) 5p + (1 * 25 + -1p * 25) = 30p + 15(1 + -1p) 5p + (25 + -25p) = 30p + 15(1 + -1p) Reorder the terms: 25 + 5p + -25p = 30p + 15(1 + -1p) Combine like terms: 5p + -25p = -20p 25 + -20p = 30p + 15(1 + -1p) 25 + -20p = 30p + (1 * 15 + -1p * 15) 25 + -20p = 30p + (15 + -15p) Reorder the terms: 25 + -20p = 15 + 30p + -15p Combine like terms: 30p + -15p = 15p 25 + -20p = 15 + 15p Solving 25 + -20p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 25 + -20p + -15p = 15 + 15p + -15p Combine like terms: -20p + -15p = -35p 25 + -35p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 25 + -35p = 15 + 0 25 + -35p = 15 Add '-25' to each side of the equation. 25 + -25 + -35p = 15 + -25 Combine like terms: 25 + -25 = 0 0 + -35p = 15 + -25 -35p = 15 + -25 Combine like terms: 15 + -25 = -10 -35p = -10 Divide each side by '-35'. p = 0.2857142857 Simplifying p = 0.2857142857
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