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Simplifying 5k + -4k = 3k + -6 + 2k Combine like terms: 5k + -4k = 1k 1k = 3k + -6 + 2k Reorder the terms: 1k = -6 + 3k + 2k Combine like terms: 3k + 2k = 5k 1k = -6 + 5k Solving 1k = -6 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 1k + -5k = -6 + 5k + -5k Combine like terms: 1k + -5k = -4k -4k = -6 + 5k + -5k Combine like terms: 5k + -5k = 0 -4k = -6 + 0 -4k = -6 Divide each side by '-4'. k = 1.5 Simplifying k = 1.5
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