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