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Simplifying 3 + 7k = 2k + 13 Reorder the terms: 3 + 7k = 13 + 2k Solving 3 + 7k = 13 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 3 + 7k + -2k = 13 + 2k + -2k Combine like terms: 7k + -2k = 5k 3 + 5k = 13 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + 5k = 13 + 0 3 + 5k = 13 Add '-3' to each side of the equation. 3 + -3 + 5k = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5k = 13 + -3 5k = 13 + -3 Combine like terms: 13 + -3 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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