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