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Simplifying 9(11k + 9) = 18k Reorder the terms: 9(9 + 11k) = 18k (9 * 9 + 11k * 9) = 18k (81 + 99k) = 18k Solving 81 + 99k = 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 81 + 99k + -18k = 18k + -18k Combine like terms: 99k + -18k = 81k 81 + 81k = 18k + -18k Combine like terms: 18k + -18k = 0 81 + 81k = 0 Add '-81' to each side of the equation. 81 + -81 + 81k = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 81k = 0 + -81 81k = 0 + -81 Combine like terms: 0 + -81 = -81 81k = -81 Divide each side by '81'. k = -1 Simplifying k = -1
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