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Simplifying 3k + -1m = 7k + 2 Reorder the terms: 3k + -1m = 2 + 7k Solving 3k + -1m = 2 + 7k 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. 3k + -7k + -1m = 2 + 7k + -7k Combine like terms: 3k + -7k = -4k -4k + -1m = 2 + 7k + -7k Combine like terms: 7k + -7k = 0 -4k + -1m = 2 + 0 -4k + -1m = 2 Add 'm' to each side of the equation. -4k + -1m + m = 2 + m Combine like terms: -1m + m = 0 -4k + 0 = 2 + m -4k = 2 + m Divide each side by '-4'. k = -0.5 + -0.25m Simplifying k = -0.5 + -0.25m
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