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Simplifying 3p + -1(1 + -1p) = -4P + 2(1 + -1p) 3p + (1 * -1 + -1p * -1) = -4P + 2(1 + -1p) 3p + (-1 + 1p) = -4P + 2(1 + -1p) Reorder the terms: -1 + 3p + 1p = -4P + 2(1 + -1p) Combine like terms: 3p + 1p = 4p -1 + 4p = -4P + 2(1 + -1p) -1 + 4p = -4P + (1 * 2 + -1p * 2) -1 + 4p = -4P + (2 + -2p) Reorder the terms: -1 + 4p = 2 + -4P + -2p Solving -1 + 4p = 2 + -4P + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -1 + 4p + 2p = 2 + -4P + -2p + 2p Combine like terms: 4p + 2p = 6p -1 + 6p = 2 + -4P + -2p + 2p Combine like terms: -2p + 2p = 0 -1 + 6p = 2 + -4P + 0 -1 + 6p = 2 + -4P Add '1' to each side of the equation. -1 + 1 + 6p = 2 + 1 + -4P Combine like terms: -1 + 1 = 0 0 + 6p = 2 + 1 + -4P 6p = 2 + 1 + -4P Combine like terms: 2 + 1 = 3 6p = 3 + -4P Divide each side by '6'. p = 0.5 + -0.6666666667P Simplifying p = 0.5 + -0.6666666667P
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