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Simplifying mk + mv = r Solving km + mv = r Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1mv' to each side of the equation. km + mv + -1mv = -1mv + r Combine like terms: mv + -1mv = 0 km + 0 = -1mv + r km = -1mv + r Divide each side by 'm'. k = -1v + m-1r Simplifying k = -1v + m-1r Reorder the terms: k = m-1r + -1v
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