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Simplifying 9(k + 2) = -81 Reorder the terms: 9(2 + k) = -81 (2 * 9 + k * 9) = -81 (18 + 9k) = -81 Solving 18 + 9k = -81 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9k = -81 + -18 Combine like terms: 18 + -18 = 0 0 + 9k = -81 + -18 9k = -81 + -18 Combine like terms: -81 + -18 = -99 9k = -99 Divide each side by '9'. k = -11 Simplifying k = -11
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