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Simplifying 4k + -1k = 6k + -1k + 7 Combine like terms: 4k + -1k = 3k 3k = 6k + -1k + 7 Reorder the terms: 3k = 7 + 6k + -1k Combine like terms: 6k + -1k = 5k 3k = 7 + 5k Solving 3k = 7 + 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. 3k + -5k = 7 + 5k + -5k Combine like terms: 3k + -5k = -2k -2k = 7 + 5k + -5k Combine like terms: 5k + -5k = 0 -2k = 7 + 0 -2k = 7 Divide each side by '-2'. k = -3.5 Simplifying k = -3.5
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