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