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Simplifying 2p + -1(1 + -1p) = -2p + 1(1 + -1p) 2p + (1 * -1 + -1p * -1) = -2p + 1(1 + -1p) 2p + (-1 + 1p) = -2p + 1(1 + -1p) Reorder the terms: -1 + 2p + 1p = -2p + 1(1 + -1p) Combine like terms: 2p + 1p = 3p -1 + 3p = -2p + 1(1 + -1p) -1 + 3p = -2p + (1 * 1 + -1p * 1) -1 + 3p = -2p + (1 + -1p) Reorder the terms: -1 + 3p = 1 + -2p + -1p Combine like terms: -2p + -1p = -3p -1 + 3p = 1 + -3p Solving -1 + 3p = 1 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -1 + 3p + 3p = 1 + -3p + 3p Combine like terms: 3p + 3p = 6p -1 + 6p = 1 + -3p + 3p Combine like terms: -3p + 3p = 0 -1 + 6p = 1 + 0 -1 + 6p = 1 Add '1' to each side of the equation. -1 + 1 + 6p = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 6p = 1 + 1 6p = 1 + 1 Combine like terms: 1 + 1 = 2 6p = 2 Divide each side by '6'. p = 0.3333333333 Simplifying p = 0.3333333333
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