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Simplifying -2p + 2(1 + -1p) = 2p + -1(1 + -1p) -2p + (1 * 2 + -1p * 2) = 2p + -1(1 + -1p) -2p + (2 + -2p) = 2p + -1(1 + -1p) Reorder the terms: 2 + -2p + -2p = 2p + -1(1 + -1p) Combine like terms: -2p + -2p = -4p 2 + -4p = 2p + -1(1 + -1p) 2 + -4p = 2p + (1 * -1 + -1p * -1) 2 + -4p = 2p + (-1 + 1p) Reorder the terms: 2 + -4p = -1 + 2p + 1p Combine like terms: 2p + 1p = 3p 2 + -4p = -1 + 3p Solving 2 + -4p = -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. 2 + -4p + -3p = -1 + 3p + -3p Combine like terms: -4p + -3p = -7p 2 + -7p = -1 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + -7p = -1 + 0 2 + -7p = -1 Add '-2' to each side of the equation. 2 + -2 + -7p = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -7p = -1 + -2 -7p = -1 + -2 Combine like terms: -1 + -2 = -3 -7p = -3 Divide each side by '-7'. p = 0.4285714286 Simplifying p = 0.4285714286
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