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Simplifying 4 + -1k = 2k + 7 Reorder the terms: 4 + -1k = 7 + 2k Solving 4 + -1k = 7 + 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. 4 + -1k + -2k = 7 + 2k + -2k Combine like terms: -1k + -2k = -3k 4 + -3k = 7 + 2k + -2k Combine like terms: 2k + -2k = 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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