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