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Simplifying 7(k + 7) = 182 Reorder the terms: 7(7 + k) = 182 (7 * 7 + k * 7) = 182 (49 + 7k) = 182 Solving 49 + 7k = 182 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 7k = 182 + -49 Combine like terms: 49 + -49 = 0 0 + 7k = 182 + -49 7k = 182 + -49 Combine like terms: 182 + -49 = 133 7k = 133 Divide each side by '7'. k = 19 Simplifying k = 19
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