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Simplifying 5p + 20(1 + -1p) = 40p + 15(1 + -1p) 5p + (1 * 20 + -1p * 20) = 40p + 15(1 + -1p) 5p + (20 + -20p) = 40p + 15(1 + -1p) Reorder the terms: 20 + 5p + -20p = 40p + 15(1 + -1p) Combine like terms: 5p + -20p = -15p 20 + -15p = 40p + 15(1 + -1p) 20 + -15p = 40p + (1 * 15 + -1p * 15) 20 + -15p = 40p + (15 + -15p) Reorder the terms: 20 + -15p = 15 + 40p + -15p Combine like terms: 40p + -15p = 25p 20 + -15p = 15 + 25p Solving 20 + -15p = 15 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. 20 + -15p + -25p = 15 + 25p + -25p Combine like terms: -15p + -25p = -40p 20 + -40p = 15 + 25p + -25p Combine like terms: 25p + -25p = 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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