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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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