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Simplifying k + -2 = 6 + 2k Reorder the terms: -2 + k = 6 + 2k Solving -2 + k = 6 + 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. -2 + k + -2k = 6 + 2k + -2k Combine like terms: k + -2k = -1k -2 + -1k = 6 + 2k + -2k Combine like terms: 2k + -2k = 0 -2 + -1k = 6 + 0 -2 + -1k = 6 Add '2' to each side of the equation. -2 + 2 + -1k = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = 6 + 2 -1k = 6 + 2 Combine like terms: 6 + 2 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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