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Simplifying 2k + (-3m) + -6k + 2m = 0 Reorder the terms: 2k + -6k + (-3m) + 2m = 0 Combine like terms: 2k + -6k = -4k -4k + (-3m) + 2m = 0 Combine like terms: (-3m) + 2m = -1m -4k + -1m = 0 Solving -4k + -1m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'm' to each side of the equation. -4k + -1m + m = 0 + m Combine like terms: -1m + m = 0 -4k + 0 = 0 + m -4k = 0 + m Remove the zero: -4k = m Divide each side by '-4'. k = -0.25m Simplifying k = -0.25m
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