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Simplifying 4k + 6m + 5k + -2m = 0 Reorder the terms: 4k + 5k + 6m + -2m = 0 Combine like terms: 4k + 5k = 9k 9k + 6m + -2m = 0 Combine like terms: 6m + -2m = 4m 9k + 4m = 0 Solving 9k + 4m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4m' to each side of the equation. 9k + 4m + -4m = 0 + -4m Combine like terms: 4m + -4m = 0 9k + 0 = 0 + -4m 9k = 0 + -4m Remove the zero: 9k = -4m Divide each side by '9'. k = -0.4444444444m Simplifying k = -0.4444444444m
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