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Simplifying 14 + 2(3k + 6) = 0 Reorder the terms: 14 + 2(6 + 3k) = 0 14 + (6 * 2 + 3k * 2) = 0 14 + (12 + 6k) = 0 Combine like terms: 14 + 12 = 26 26 + 6k = 0 Solving 26 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 6k = 0 + -26 6k = 0 + -26 Combine like terms: 0 + -26 = -26 6k = -26 Divide each side by '6'. k = -4.333333333 Simplifying k = -4.333333333
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