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Simplifying 82 = -2(6k + -8) + -6 Reorder the terms: 82 = -2(-8 + 6k) + -6 82 = (-8 * -2 + 6k * -2) + -6 82 = (16 + -12k) + -6 Reorder the terms: 82 = 16 + -6 + -12k Combine like terms: 16 + -6 = 10 82 = 10 + -12k Solving 82 = 10 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 82 + 12k = 10 + -12k + 12k Combine like terms: -12k + 12k = 0 82 + 12k = 10 + 0 82 + 12k = 10 Add '-82' to each side of the equation. 82 + -82 + 12k = 10 + -82 Combine like terms: 82 + -82 = 0 0 + 12k = 10 + -82 12k = 10 + -82 Combine like terms: 10 + -82 = -72 12k = -72 Divide each side by '12'. k = -6 Simplifying k = -6
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