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Simplifying 82 = 8k + 5(8 + -3k) 82 = 8k + (8 * 5 + -3k * 5) 82 = 8k + (40 + -15k) Reorder the terms: 82 = 40 + 8k + -15k Combine like terms: 8k + -15k = -7k 82 = 40 + -7k Solving 82 = 40 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 82 + 7k = 40 + -7k + 7k Combine like terms: -7k + 7k = 0 82 + 7k = 40 + 0 82 + 7k = 40 Add '-82' to each side of the equation. 82 + -82 + 7k = 40 + -82 Combine like terms: 82 + -82 = 0 0 + 7k = 40 + -82 7k = 40 + -82 Combine like terms: 40 + -82 = -42 7k = -42 Divide each side by '7'. k = -6 Simplifying k = -6
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