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