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Simplifying 6k + k = 27 + 4k Combine like terms: 6k + k = 7k 7k = 27 + 4k Solving 7k = 27 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 7k + -4k = 27 + 4k + -4k Combine like terms: 7k + -4k = 3k 3k = 27 + 4k + -4k Combine like terms: 4k + -4k = 0 3k = 27 + 0 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
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