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Simplifying 0.65p + 0.05(1 + -1p) = 0.05p 0.65p + (1 * 0.05 + -1p * 0.05) = 0.05p 0.65p + (0.05 + -0.05p) = 0.05p Reorder the terms: 0.05 + 0.65p + -0.05p = 0.05p Combine like terms: 0.65p + -0.05p = 0.6p 0.05 + 0.6p = 0.05p Solving 0.05 + 0.6p = 0.05p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.05p' to each side of the equation. 0.05 + 0.6p + -0.05p = 0.05p + -0.05p Combine like terms: 0.6p + -0.05p = 0.55p 0.05 + 0.55p = 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 0.05 + 0.55p = 0.00 Add '-0.05' to each side of the equation. 0.05 + -0.05 + 0.55p = 0.00 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.55p = 0.00 + -0.05 0.55p = 0.00 + -0.05 Combine like terms: 0.00 + -0.05 = -0.05 0.55p = -0.05 Divide each side by '0.55'. p = -0.09090909091 Simplifying p = -0.09090909091
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