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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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