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Simplifying rs + t = us + v Solving rs + t = su + v Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1t' to each side of the equation. rs + t + -1t = su + -1t + v Combine like terms: t + -1t = 0 rs + 0 = su + -1t + v rs = su + -1t + v Divide each side by 's'. r = u + -1s-1t + s-1v Simplifying r = u + -1s-1t + s-1v Reorder the terms: r = -1s-1t + s-1v + u
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