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Simplifying T(r + s) = ra (r * T + s * T) = ra (rT + sT) = ra Solving rT + sT = ar Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1ar' to each side of the equation. rT + -1ar + sT = ar + -1ar Reorder the terms: -1ar + rT + sT = ar + -1ar Combine like terms: ar + -1ar = 0 -1ar + rT + sT = 0 Add '-1sT' to each side of the equation. -1ar + rT + sT + -1sT = 0 + -1sT Combine like terms: sT + -1sT = 0 -1ar + rT + 0 = 0 + -1sT -1ar + rT = 0 + -1sT Remove the zero: -1ar + rT = -1sT Combine like terms: -1sT + sT = 0 -1ar + rT + sT = 0 The solution to this equation could not be determined.
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