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Simplifying -82 = 7(k + 2) + 5k Reorder the terms: -82 = 7(2 + k) + 5k -82 = (2 * 7 + k * 7) + 5k -82 = (14 + 7k) + 5k Combine like terms: 7k + 5k = 12k -82 = 14 + 12k Solving -82 = 14 + 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 = 14 + 12k + -12k Combine like terms: 12k + -12k = 0 -82 + -12k = 14 + 0 -82 + -12k = 14 Add '82' to each side of the equation. -82 + 82 + -12k = 14 + 82 Combine like terms: -82 + 82 = 0 0 + -12k = 14 + 82 -12k = 14 + 82 Combine like terms: 14 + 82 = 96 -12k = 96 Divide each side by '-12'. k = -8 Simplifying k = -8
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