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Simplifying 9k + 3 = 2k + 38 Reorder the terms: 3 + 9k = 2k + 38 Reorder the terms: 3 + 9k = 38 + 2k Solving 3 + 9k = 38 + 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 + 9k + -2k = 38 + 2k + -2k Combine like terms: 9k + -2k = 7k 3 + 7k = 38 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + 7k = 38 + 0 3 + 7k = 38 Add '-3' to each side of the equation. 3 + -3 + 7k = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 7k = 38 + -3 7k = 38 + -3 Combine like terms: 38 + -3 = 35 7k = 35 Divide each side by '7'. k = 5 Simplifying k = 5
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