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Simplifying 6k + 7 + -3k + 7k = 27 Reorder the terms: 7 + 6k + -3k + 7k = 27 Combine like terms: 6k + -3k = 3k 7 + 3k + 7k = 27 Combine like terms: 3k + 7k = 10k 7 + 10k = 27 Solving 7 + 10k = 27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10k = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10k = 27 + -7 10k = 27 + -7 Combine like terms: 27 + -7 = 20 10k = 20 Divide each side by '10'. k = 2 Simplifying k = 2
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