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Simplifying S(r + t) = rat (r * S + t * S) = rat (rS + tS) = rat Solving rS + tS = art Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1art' to each side of the equation. rS + -1art + tS = art + -1art Reorder the terms: -1art + rS + tS = art + -1art Combine like terms: art + -1art = 0 -1art + rS + tS = 0 Add '-1tS' to each side of the equation. -1art + rS + tS + -1tS = 0 + -1tS Combine like terms: tS + -1tS = 0 -1art + rS + 0 = 0 + -1tS -1art + rS = 0 + -1tS Remove the zero: -1art + rS = -1tS Combine like terms: -1tS + tS = 0 -1art + rS + tS = 0 The solution to this equation could not be determined.
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