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Simplifying k + 39 = 7k + -9 Reorder the terms: 39 + k = 7k + -9 Reorder the terms: 39 + k = -9 + 7k Solving 39 + k = -9 + 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 + k + -7k = -9 + 7k + -7k Combine like terms: k + -7k = -6k 39 + -6k = -9 + 7k + -7k Combine like terms: 7k + -7k = 0 39 + -6k = -9 + 0 39 + -6k = -9 Add '-39' to each side of the equation. 39 + -39 + -6k = -9 + -39 Combine like terms: 39 + -39 = 0 0 + -6k = -9 + -39 -6k = -9 + -39 Combine like terms: -9 + -39 = -48 -6k = -48 Divide each side by '-6'. k = 8 Simplifying k = 8
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