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Simplifying 4k + 39 = 7k + 6 Reorder the terms: 39 + 4k = 7k + 6 Reorder the terms: 39 + 4k = 6 + 7k Solving 39 + 4k = 6 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 39 + 4k + -7k = 6 + 7k + -7k Combine like terms: 4k + -7k = -3k 39 + -3k = 6 + 7k + -7k Combine like terms: 7k + -7k = 0 39 + -3k = 6 + 0 39 + -3k = 6 Add '-39' to each side of the equation. 39 + -39 + -3k = 6 + -39 Combine like terms: 39 + -39 = 0 0 + -3k = 6 + -39 -3k = 6 + -39 Combine like terms: 6 + -39 = -33 -3k = -33 Divide each side by '-3'. k = 11 Simplifying k = 11
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