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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 Solving -1 + 2p = 1 + -1P + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -1 + 2p + p = 1 + -1P + -1p + p Combine like terms: 2p + p = 3p -1 + 3p = 1 + -1P + -1p + p Combine like terms: -1p + p = 0 -1 + 3p = 1 + -1P + 0 -1 + 3p = 1 + -1P Add '1' to each side of the equation. -1 + 1 + 3p = 1 + 1 + -1P Combine like terms: -1 + 1 = 0 0 + 3p = 1 + 1 + -1P 3p = 1 + 1 + -1P Combine like terms: 1 + 1 = 2 3p = 2 + -1P Divide each side by '3'. p = 0.6666666667 + -0.3333333333P Simplifying p = 0.6666666667 + -0.3333333333P
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