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Simplifying 5k + 14m + 4k + 12m = 0 Reorder the terms: 5k + 4k + 14m + 12m = 0 Combine like terms: 5k + 4k = 9k 9k + 14m + 12m = 0 Combine like terms: 14m + 12m = 26m 9k + 26m = 0 Solving 9k + 26m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26m' to each side of the equation. 9k + 26m + -26m = 0 + -26m Combine like terms: 26m + -26m = 0 9k + 0 = 0 + -26m 9k = 0 + -26m Remove the zero: 9k = -26m Divide each side by '9'. k = -2.888888889m Simplifying k = -2.888888889m
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