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Simplifying 500 = p(1 + -0.8) Combine like terms: 1 + -0.8 = 0.2 500 = p(0.2) Reorder the terms for easier multiplication: 500 = 0.2p Solving 500 = 0.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.2p' to each side of the equation. 500 + -0.2p = 0.2p + -0.2p Combine like terms: 0.2p + -0.2p = 0.0 500 + -0.2p = 0.0 Add '-500' to each side of the equation. 500 + -500 + -0.2p = 0.0 + -500 Combine like terms: 500 + -500 = 0 0 + -0.2p = 0.0 + -500 -0.2p = 0.0 + -500 Combine like terms: 0.0 + -500 = -500 -0.2p = -500 Divide each side by '-0.2'. p = 2500 Simplifying p = 2500
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