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