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Simplifying 7(9 + k) = 84 + 3k (9 * 7 + k * 7) = 84 + 3k (63 + 7k) = 84 + 3k Solving 63 + 7k = 84 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 63 + 7k + -3k = 84 + 3k + -3k Combine like terms: 7k + -3k = 4k 63 + 4k = 84 + 3k + -3k Combine like terms: 3k + -3k = 0 63 + 4k = 84 + 0 63 + 4k = 84 Add '-63' to each side of the equation. 63 + -63 + 4k = 84 + -63 Combine like terms: 63 + -63 = 0 0 + 4k = 84 + -63 4k = 84 + -63 Combine like terms: 84 + -63 = 21 4k = 21 Divide each side by '4'. k = 5.25 Simplifying k = 5.25
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