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Simplifying 7(9 + k) = 84 + 6k + -15 (9 * 7 + k * 7) = 84 + 6k + -15 (63 + 7k) = 84 + 6k + -15 Reorder the terms: 63 + 7k = 84 + -15 + 6k Combine like terms: 84 + -15 = 69 63 + 7k = 69 + 6k Solving 63 + 7k = 69 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 63 + 7k + -6k = 69 + 6k + -6k Combine like terms: 7k + -6k = 1k 63 + 1k = 69 + 6k + -6k Combine like terms: 6k + -6k = 0 63 + 1k = 69 + 0 63 + 1k = 69 Add '-63' to each side of the equation. 63 + -63 + 1k = 69 + -63 Combine like terms: 63 + -63 = 0 0 + 1k = 69 + -63 1k = 69 + -63 Combine like terms: 69 + -63 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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