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Simplifying 6(9 + k) + k + 9 = 84 (9 * 6 + k * 6) + k + 9 = 84 (54 + 6k) + k + 9 = 84 Reorder the terms: 54 + 9 + 6k + k = 84 Combine like terms: 54 + 9 = 63 63 + 6k + k = 84 Combine like terms: 6k + k = 7k 63 + 7k = 84 Solving 63 + 7k = 84 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 = 84 + -63 Combine like terms: 63 + -63 = 0 0 + 7k = 84 + -63 7k = 84 + -63 Combine like terms: 84 + -63 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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