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Simplifying 8m + 3k + 12m + -7k = 0 Reorder the terms: 3k + -7k + 8m + 12m = 0 Combine like terms: 3k + -7k = -4k -4k + 8m + 12m = 0 Combine like terms: 8m + 12m = 20m -4k + 20m = 0 Solving -4k + 20m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20m' to each side of the equation. -4k + 20m + -20m = 0 + -20m Combine like terms: 20m + -20m = 0 -4k + 0 = 0 + -20m -4k = 0 + -20m Remove the zero: -4k = -20m Divide each side by '-4'. k = 5m Simplifying k = 5m
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