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