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Simplifying 9(7 + k) = 84 (7 * 9 + k * 9) = 84 (63 + 9k) = 84 Solving 63 + 9k = 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 + 9k = 84 + -63 Combine like terms: 63 + -63 = 0 0 + 9k = 84 + -63 9k = 84 + -63 Combine like terms: 84 + -63 = 21 9k = 21 Divide each side by '9'. k = 2.333333333 Simplifying k = 2.333333333
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