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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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