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Simplifying m(2k + 3n) = 0 (2k * m + 3n * m) = 0 (2km + 3mn) = 0 Solving 2km + 3mn = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3mn' to each side of the equation. 2km + 3mn + -3mn = 0 + -3mn Combine like terms: 3mn + -3mn = 0 2km + 0 = 0 + -3mn 2km = 0 + -3mn Remove the zero: 2km = -3mn Divide each side by '2m'. k = -1.5n Simplifying k = -1.5n
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