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Simplifying -20p + (-15)(1 + -1p) = 15p + -20(1 + -1p) -20p + (1 * -15 + -1p * -15) = 15p + -20(1 + -1p) -20p + (-15 + 15p) = 15p + -20(1 + -1p) Reorder the terms: -15 + -20p + 15p = 15p + -20(1 + -1p) Combine like terms: -20p + 15p = -5p -15 + -5p = 15p + -20(1 + -1p) -15 + -5p = 15p + (1 * -20 + -1p * -20) -15 + -5p = 15p + (-20 + 20p) Reorder the terms: -15 + -5p = -20 + 15p + 20p Combine like terms: 15p + 20p = 35p -15 + -5p = -20 + 35p Solving -15 + -5p = -20 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. -15 + -5p + -35p = -20 + 35p + -35p Combine like terms: -5p + -35p = -40p -15 + -40p = -20 + 35p + -35p Combine like terms: 35p + -35p = 0 -15 + -40p = -20 + 0 -15 + -40p = -20 Add '15' to each side of the equation. -15 + 15 + -40p = -20 + 15 Combine like terms: -15 + 15 = 0 0 + -40p = -20 + 15 -40p = -20 + 15 Combine like terms: -20 + 15 = -5 -40p = -5 Divide each side by '-40'. p = 0.125 Simplifying p = 0.125
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