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Simplifying 4p + (-1)(1 + -1p) = -2p + 2(1 + -1p) 4p + (1 * -1 + -1p * -1) = -2p + 2(1 + -1p) 4p + (-1 + 1p) = -2p + 2(1 + -1p) Reorder the terms: -1 + 4p + 1p = -2p + 2(1 + -1p) Combine like terms: 4p + 1p = 5p -1 + 5p = -2p + 2(1 + -1p) -1 + 5p = -2p + (1 * 2 + -1p * 2) -1 + 5p = -2p + (2 + -2p) Reorder the terms: -1 + 5p = 2 + -2p + -2p Combine like terms: -2p + -2p = -4p -1 + 5p = 2 + -4p Solving -1 + 5p = 2 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -1 + 5p + 4p = 2 + -4p + 4p Combine like terms: 5p + 4p = 9p -1 + 9p = 2 + -4p + 4p Combine like terms: -4p + 4p = 0 -1 + 9p = 2 + 0 -1 + 9p = 2 Add '1' to each side of the equation. -1 + 1 + 9p = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 9p = 2 + 1 9p = 2 + 1 Combine like terms: 2 + 1 = 3 9p = 3 Divide each side by '9'. p = 0.3333333333 Simplifying p = 0.3333333333
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