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Simplifying m + 4k = 3m + 7k Reorder the terms: 4k + m = 3m + 7k Reorder the terms: 4k + m = 7k + 3m Solving 4k + m = 7k + 3m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 4k + -7k + m = 7k + -7k + 3m Combine like terms: 4k + -7k = -3k -3k + m = 7k + -7k + 3m Combine like terms: 7k + -7k = 0 -3k + m = 0 + 3m -3k + m = 3m Add '-1m' to each side of the equation. -3k + m + -1m = 3m + -1m Combine like terms: m + -1m = 0 -3k + 0 = 3m + -1m -3k = 3m + -1m Combine like terms: 3m + -1m = 2m -3k = 2m Divide each side by '-3'. k = -0.6666666667m Simplifying k = -0.6666666667m
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