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Simplifying 5m + 6k + 7m + k = 0 Reorder the terms: 6k + k + 5m + 7m = 0 Combine like terms: 6k + k = 7k 7k + 5m + 7m = 0 Combine like terms: 5m + 7m = 12m 7k + 12m = 0 Solving 7k + 12m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12m' to each side of the equation. 7k + 12m + -12m = 0 + -12m Combine like terms: 12m + -12m = 0 7k + 0 = 0 + -12m 7k = 0 + -12m Remove the zero: 7k = -12m Divide each side by '7'. k = -1.714285714m Simplifying k = -1.714285714m
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