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Simplifying 38 + 7k = 9(k + 4) Reorder the terms: 38 + 7k = 9(4 + k) 38 + 7k = (4 * 9 + k * 9) 38 + 7k = (36 + 9k) Solving 38 + 7k = 36 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 38 + 7k + -9k = 36 + 9k + -9k Combine like terms: 7k + -9k = -2k 38 + -2k = 36 + 9k + -9k Combine like terms: 9k + -9k = 0 38 + -2k = 36 + 0 38 + -2k = 36 Add '-38' to each side of the equation. 38 + -38 + -2k = 36 + -38 Combine like terms: 38 + -38 = 0 0 + -2k = 36 + -38 -2k = 36 + -38 Combine like terms: 36 + -38 = -2 -2k = -2 Divide each side by '-2'. k = 1 Simplifying k = 1
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