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Simplifying 3k + 2 = k + -6 Reorder the terms: 2 + 3k = k + -6 Reorder the terms: 2 + 3k = -6 + k Solving 2 + 3k = -6 + 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. 2 + 3k + -1k = -6 + k + -1k Combine like terms: 3k + -1k = 2k 2 + 2k = -6 + k + -1k Combine like terms: k + -1k = 0 2 + 2k = -6 + 0 2 + 2k = -6 Add '-2' to each side of the equation. 2 + -2 + 2k = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = -6 + -2 2k = -6 + -2 Combine like terms: -6 + -2 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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