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Simplifying -8 + 10(3 + -1k) = 3(1 + -12k) + 7k -8 + (3 * 10 + -1k * 10) = 3(1 + -12k) + 7k -8 + (30 + -10k) = 3(1 + -12k) + 7k Combine like terms: -8 + 30 = 22 22 + -10k = 3(1 + -12k) + 7k 22 + -10k = (1 * 3 + -12k * 3) + 7k 22 + -10k = (3 + -36k) + 7k Combine like terms: -36k + 7k = -29k 22 + -10k = 3 + -29k Solving 22 + -10k = 3 + -29k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '29k' to each side of the equation. 22 + -10k + 29k = 3 + -29k + 29k Combine like terms: -10k + 29k = 19k 22 + 19k = 3 + -29k + 29k Combine like terms: -29k + 29k = 0 22 + 19k = 3 + 0 22 + 19k = 3 Add '-22' to each side of the equation. 22 + -22 + 19k = 3 + -22 Combine like terms: 22 + -22 = 0 0 + 19k = 3 + -22 19k = 3 + -22 Combine like terms: 3 + -22 = -19 19k = -19 Divide each side by '19'. k = -1 Simplifying k = -1
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