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Simplifying 4(3k + m) + -2m = 0 (3k * 4 + m * 4) + -2m = 0 (12k + 4m) + -2m = 0 Combine like terms: 4m + -2m = 2m 12k + 2m = 0 Solving 12k + 2m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2m' to each side of the equation. 12k + 2m + -2m = 0 + -2m Combine like terms: 2m + -2m = 0 12k + 0 = 0 + -2m 12k = 0 + -2m Remove the zero: 12k = -2m Divide each side by '12'. k = -0.1666666667m Simplifying k = -0.1666666667m
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