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Simplifying 2(6k + 7) = -82 Reorder the terms: 2(7 + 6k) = -82 (7 * 2 + 6k * 2) = -82 (14 + 12k) = -82 Solving 14 + 12k = -82 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12k = -82 + -14 Combine like terms: 14 + -14 = 0 0 + 12k = -82 + -14 12k = -82 + -14 Combine like terms: -82 + -14 = -96 12k = -96 Divide each side by '12'. k = -8 Simplifying k = -8
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