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Simplifying P(q + r) = 1 (q * P + r * P) = 1 (qP + rP) = 1 Solving qP + rP = 1 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1rP' to each side of the equation. qP + rP + -1rP = 1 + -1rP Combine like terms: rP + -1rP = 0 qP + 0 = 1 + -1rP qP = 1 + -1rP Divide each side by 'P'. q = P-1 + -1r Simplifying q = P-1 + -1r
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