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Simplifying 1p + -1(1 + -1p) = -1p + 1(1 + -1p) 1p + (1 * -1 + -1p * -1) = -1p + 1(1 + -1p) 1p + (-1 + 1p) = -1p + 1(1 + -1p) Reorder the terms: -1 + 1p + 1p = -1p + 1(1 + -1p) Combine like terms: 1p + 1p = 2p -1 + 2p = -1p + 1(1 + -1p) -1 + 2p = -1p + (1 * 1 + -1p * 1) -1 + 2p = -1p + (1 + -1p) Reorder the terms: -1 + 2p = 1 + -1p + -1p Combine like terms: -1p + -1p = -2p -1 + 2p = 1 + -2p Solving -1 + 2p = 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 + 2p + 2p = 1 + -2p + 2p Combine like terms: 2p + 2p = 4p -1 + 4p = 1 + -2p + 2p Combine like terms: -2p + 2p = 0 -1 + 4p = 1 + 0 -1 + 4p = 1 Add '1' to each side of the equation. -1 + 1 + 4p = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 4p = 1 + 1 4p = 1 + 1 Combine like terms: 1 + 1 = 2 4p = 2 Divide each side by '4'. p = 0.5 Simplifying p = 0.5
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