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Simplifying 12 + 3k = k + 6 Reorder the terms: 12 + 3k = 6 + k Solving 12 + 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. 12 + 3k + -1k = 6 + k + -1k Combine like terms: 3k + -1k = 2k 12 + 2k = 6 + k + -1k Combine like terms: k + -1k = 0 12 + 2k = 6 + 0 12 + 2k = 6 Add '-12' to each side of the equation. 12 + -12 + 2k = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = 6 + -12 2k = 6 + -12 Combine like terms: 6 + -12 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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