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