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Simplifying -1p + 2(1 + -1p) = 1p + -1(1 + -1p) -1p + (1 * 2 + -1p * 2) = 1p + -1(1 + -1p) -1p + (2 + -2p) = 1p + -1(1 + -1p) Reorder the terms: 2 + -1p + -2p = 1p + -1(1 + -1p) Combine like terms: -1p + -2p = -3p 2 + -3p = 1p + -1(1 + -1p) 2 + -3p = 1p + (1 * -1 + -1p * -1) 2 + -3p = 1p + (-1 + 1p) Reorder the terms: 2 + -3p = -1 + 1p + 1p Combine like terms: 1p + 1p = 2p 2 + -3p = -1 + 2p Solving 2 + -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. 2 + -3p + -2p = -1 + 2p + -2p Combine like terms: -3p + -2p = -5p 2 + -5p = -1 + 2p + -2p Combine like terms: 2p + -2p = 0 2 + -5p = -1 + 0 2 + -5p = -1 Add '-2' to each side of the equation. 2 + -2 + -5p = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -5p = -1 + -2 -5p = -1 + -2 Combine like terms: -1 + -2 = -3 -5p = -3 Divide each side by '-5'. p = 0.6 Simplifying p = 0.6
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