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Simplifying 2(3k + 2) + -3k = 12 + k Reorder the terms: 2(2 + 3k) + -3k = 12 + k (2 * 2 + 3k * 2) + -3k = 12 + k (4 + 6k) + -3k = 12 + k Combine like terms: 6k + -3k = 3k 4 + 3k = 12 + k Solving 4 + 3k = 12 + 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. 4 + 3k + -1k = 12 + k + -1k Combine like terms: 3k + -1k = 2k 4 + 2k = 12 + k + -1k Combine like terms: k + -1k = 0 4 + 2k = 12 + 0 4 + 2k = 12 Add '-4' to each side of the equation. 4 + -4 + 2k = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 12 + -4 2k = 12 + -4 Combine like terms: 12 + -4 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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