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