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Simplifying -2p + (-1)(1 + -1p) = -1p + -4(1 + -1p) -2p + (1 * -1 + -1p * -1) = -1p + -4(1 + -1p) -2p + (-1 + 1p) = -1p + -4(1 + -1p) Reorder the terms: -1 + -2p + 1p = -1p + -4(1 + -1p) Combine like terms: -2p + 1p = -1p -1 + -1p = -1p + -4(1 + -1p) -1 + -1p = -1p + (1 * -4 + -1p * -4) -1 + -1p = -1p + (-4 + 4p) Reorder the terms: -1 + -1p = -4 + -1p + 4p Combine like terms: -1p + 4p = 3p -1 + -1p = -4 + 3p Solving -1 + -1p = -4 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -1 + -1p + -3p = -4 + 3p + -3p Combine like terms: -1p + -3p = -4p -1 + -4p = -4 + 3p + -3p Combine like terms: 3p + -3p = 0 -1 + -4p = -4 + 0 -1 + -4p = -4 Add '1' to each side of the equation. -1 + 1 + -4p = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -4p = -4 + 1 -4p = -4 + 1 Combine like terms: -4 + 1 = -3 -4p = -3 Divide each side by '-4'. p = 0.75 Simplifying p = 0.75
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