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Simplifying 7(9 + k) = 83 (9 * 7 + k * 7) = 83 (63 + 7k) = 83 Solving 63 + 7k = 83 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 7k = 83 + -63 Combine like terms: 63 + -63 = 0 0 + 7k = 83 + -63 7k = 83 + -63 Combine like terms: 83 + -63 = 20 7k = 20 Divide each side by '7'. k = 2.857142857 Simplifying k = 2.857142857
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