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Simplifying 2(3k + 2) = 12 Reorder the terms: 2(2 + 3k) = 12 (2 * 2 + 3k * 2) = 12 (4 + 6k) = 12 Solving 4 + 6k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6k = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = 12 + -4 6k = 12 + -4 Combine like terms: 12 + -4 = 8 6k = 8 Divide each side by '6'. k = 1.333333333 Simplifying k = 1.333333333
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