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Simplifying 6 + -1k = k + 2 Reorder the terms: 6 + -1k = 2 + k Solving 6 + -1k = 2 + 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. 6 + -1k + -1k = 2 + k + -1k Combine like terms: -1k + -1k = -2k 6 + -2k = 2 + k + -1k Combine like terms: k + -1k = 0 6 + -2k = 2 + 0 6 + -2k = 2 Add '-6' to each side of the equation. 6 + -6 + -2k = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = 2 + -6 -2k = 2 + -6 Combine like terms: 2 + -6 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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