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Simplifying 4p + -2(1 + -1p) = -2P + 2(1 + -1p) 4p + (1 * -2 + -1p * -2) = -2P + 2(1 + -1p) 4p + (-2 + 2p) = -2P + 2(1 + -1p) Reorder the terms: -2 + 4p + 2p = -2P + 2(1 + -1p) Combine like terms: 4p + 2p = 6p -2 + 6p = -2P + 2(1 + -1p) -2 + 6p = -2P + (1 * 2 + -1p * 2) -2 + 6p = -2P + (2 + -2p) Reorder the terms: -2 + 6p = 2 + -2P + -2p Solving -2 + 6p = 2 + -2P + -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. -2 + 6p + 2p = 2 + -2P + -2p + 2p Combine like terms: 6p + 2p = 8p -2 + 8p = 2 + -2P + -2p + 2p Combine like terms: -2p + 2p = 0 -2 + 8p = 2 + -2P + 0 -2 + 8p = 2 + -2P Add '2' to each side of the equation. -2 + 2 + 8p = 2 + 2 + -2P Combine like terms: -2 + 2 = 0 0 + 8p = 2 + 2 + -2P 8p = 2 + 2 + -2P Combine like terms: 2 + 2 = 4 8p = 4 + -2P Divide each side by '8'. p = 0.5 + -0.25P Simplifying p = 0.5 + -0.25P
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