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Simplifying 7k + 9 = 27 + 4k Reorder the terms: 9 + 7k = 27 + 4k Solving 9 + 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. 9 + 7k + -4k = 27 + 4k + -4k Combine like terms: 7k + -4k = 3k 9 + 3k = 27 + 4k + -4k Combine like terms: 4k + -4k = 0 9 + 3k = 27 + 0 9 + 3k = 27 Add '-9' to each side of the equation. 9 + -9 + 3k = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = 27 + -9 3k = 27 + -9 Combine like terms: 27 + -9 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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