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Simplifying 39 + 7k = 5k + 7(k + 2) Reorder the terms: 39 + 7k = 5k + 7(2 + k) 39 + 7k = 5k + (2 * 7 + k * 7) 39 + 7k = 5k + (14 + 7k) Reorder the terms: 39 + 7k = 14 + 5k + 7k Combine like terms: 5k + 7k = 12k 39 + 7k = 14 + 12k Solving 39 + 7k = 14 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 39 + 7k + -12k = 14 + 12k + -12k Combine like terms: 7k + -12k = -5k 39 + -5k = 14 + 12k + -12k Combine like terms: 12k + -12k = 0 39 + -5k = 14 + 0 39 + -5k = 14 Add '-39' to each side of the equation. 39 + -39 + -5k = 14 + -39 Combine like terms: 39 + -39 = 0 0 + -5k = 14 + -39 -5k = 14 + -39 Combine like terms: 14 + -39 = -25 -5k = -25 Divide each side by '-5'. k = 5 Simplifying k = 5
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