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Simplifying 6k = 6(7k + 6) Reorder the terms: 6k = 6(6 + 7k) 6k = (6 * 6 + 7k * 6) 6k = (36 + 42k) Solving 6k = 36 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 6k + -42k = 36 + 42k + -42k Combine like terms: 6k + -42k = -36k -36k = 36 + 42k + -42k Combine like terms: 42k + -42k = 0 -36k = 36 + 0 -36k = 36 Divide each side by '-36'. k = -1 Simplifying k = -1
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