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