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Simplifying -15p + 20(1 + -1p) = 20p + 15(1 + -1p) -15p + (1 * 20 + -1p * 20) = 20p + 15(1 + -1p) -15p + (20 + -20p) = 20p + 15(1 + -1p) Reorder the terms: 20 + -15p + -20p = 20p + 15(1 + -1p) Combine like terms: -15p + -20p = -35p 20 + -35p = 20p + 15(1 + -1p) 20 + -35p = 20p + (1 * 15 + -1p * 15) 20 + -35p = 20p + (15 + -15p) Reorder the terms: 20 + -35p = 15 + 20p + -15p Combine like terms: 20p + -15p = 5p 20 + -35p = 15 + 5p Solving 20 + -35p = 15 + 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. 20 + -35p + -5p = 15 + 5p + -5p Combine like terms: -35p + -5p = -40p 20 + -40p = 15 + 5p + -5p Combine like terms: 5p + -5p = 0 20 + -40p = 15 + 0 20 + -40p = 15 Add '-20' to each side of the equation. 20 + -20 + -40p = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -40p = 15 + -20 -40p = 15 + -20 Combine like terms: 15 + -20 = -5 -40p = -5 Divide each side by '-40'. p = 0.125 Simplifying p = 0.125
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