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Simplifying 0.6p + 0.4(1 + -1p) = p 0.6p + (1 * 0.4 + -1p * 0.4) = p 0.6p + (0.4 + -0.4p) = p Reorder the terms: 0.4 + 0.6p + -0.4p = p Combine like terms: 0.6p + -0.4p = 0.2p 0.4 + 0.2p = p Solving 0.4 + 0.2p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 0.4 + 0.2p + -1p = p + -1p Combine like terms: 0.2p + -1p = -0.8p 0.4 + -0.8p = p + -1p Combine like terms: p + -1p = 0 0.4 + -0.8p = 0 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.8p = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.8p = 0 + -0.4 -0.8p = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -0.8p = -0.4 Divide each side by '-0.8'. p = 0.5 Simplifying p = 0.5
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