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Simplifying 5(k + 2) + 4k = 2k + 38 Reorder the terms: 5(2 + k) + 4k = 2k + 38 (2 * 5 + k * 5) + 4k = 2k + 38 (10 + 5k) + 4k = 2k + 38 Combine like terms: 5k + 4k = 9k 10 + 9k = 2k + 38 Reorder the terms: 10 + 9k = 38 + 2k Solving 10 + 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. 10 + 9k + -2k = 38 + 2k + -2k Combine like terms: 9k + -2k = 7k 10 + 7k = 38 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + 7k = 38 + 0 10 + 7k = 38 Add '-10' to each side of the equation. 10 + -10 + 7k = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 7k = 38 + -10 7k = 38 + -10 Combine like terms: 38 + -10 = 28 7k = 28 Divide each side by '7'. k = 4 Simplifying k = 4
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