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