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Simplifying 4k + -1k = 6k + 2k + 7 Combine like terms: 4k + -1k = 3k 3k = 6k + 2k + 7 Reorder the terms: 3k = 7 + 6k + 2k Combine like terms: 6k + 2k = 8k 3k = 7 + 8k Solving 3k = 7 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 3k + -8k = 7 + 8k + -8k Combine like terms: 3k + -8k = -5k -5k = 7 + 8k + -8k Combine like terms: 8k + -8k = 0 -5k = 7 + 0 -5k = 7 Divide each side by '-5'. k = -1.4 Simplifying k = -1.4
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