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Simplifying 2p + (-1)(1 + -1p) = (-1) * p + 1(1 + -1p) 2p + (1 * -1 + -1p * -1) = (-1) * p + 1(1 + -1p) 2p + (-1 + 1p) = (-1) * p + 1(1 + -1p) Reorder the terms: -1 + 2p + 1p = (-1) * p + 1(1 + -1p) Combine like terms: 2p + 1p = 3p -1 + 3p = (-1) * p + 1(1 + -1p) -1 + 3p = -1p + (1 * 1 + -1p * 1) -1 + 3p = -1p + (1 + -1p) Reorder the terms: -1 + 3p = 1 + -1p + -1p Combine like terms: -1p + -1p = -2p -1 + 3p = 1 + -2p Solving -1 + 3p = 1 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -1 + 3p + 2p = 1 + -2p + 2p Combine like terms: 3p + 2p = 5p -1 + 5p = 1 + -2p + 2p Combine like terms: -2p + 2p = 0 -1 + 5p = 1 + 0 -1 + 5p = 1 Add '1' to each side of the equation. -1 + 1 + 5p = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 5p = 1 + 1 5p = 1 + 1 Combine like terms: 1 + 1 = 2 5p = 2 Divide each side by '5'. p = 0.4 Simplifying p = 0.4
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