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Simplifying xp + xq = 1 Solving px + qx = 1 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1qx' to each side of the equation. px + qx + -1qx = 1 + -1qx Combine like terms: qx + -1qx = 0 px + 0 = 1 + -1qx px = 1 + -1qx Divide each side by 'x'. p = x-1 + -1q Simplifying p = x-1 + -1q Reorder the terms: p = -1q + x-1
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