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Simplifying -4p + 2(1 + -1p) = 1p + (-2)(1 + -1p) -4p + (1 * 2 + -1p * 2) = 1p + (-2)(1 + -1p) -4p + (2 + -2p) = 1p + (-2)(1 + -1p) Reorder the terms: 2 + -4p + -2p = 1p + (-2)(1 + -1p) Combine like terms: -4p + -2p = -6p 2 + -6p = 1p + (-2)(1 + -1p) 2 + -6p = 1p + (1 * -2 + -1p * -2) 2 + -6p = 1p + (-2 + 2p) Reorder the terms: 2 + -6p = -2 + 1p + 2p Combine like terms: 1p + 2p = 3p 2 + -6p = -2 + 3p Solving 2 + -6p = -2 + 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 + -6p + -3p = -2 + 3p + -3p Combine like terms: -6p + -3p = -9p 2 + -9p = -2 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + -9p = -2 + 0 2 + -9p = -2 Add '-2' to each side of the equation. 2 + -2 + -9p = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -9p = -2 + -2 -9p = -2 + -2 Combine like terms: -2 + -2 = -4 -9p = -4 Divide each side by '-9'. p = 0.4444444444 Simplifying p = 0.4444444444
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