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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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