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