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Simplifying 3(3k + 6) = 11k Reorder the terms: 3(6 + 3k) = 11k (6 * 3 + 3k * 3) = 11k (18 + 9k) = 11k Solving 18 + 9k = 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 18 + 9k + -11k = 11k + -11k Combine like terms: 9k + -11k = -2k 18 + -2k = 11k + -11k Combine like terms: 11k + -11k = 0 18 + -2k = 0 Add '-18' to each side of the equation. 18 + -18 + -2k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -2k = 0 + -18 -2k = 0 + -18 Combine like terms: 0 + -18 = -18 -2k = -18 Divide each side by '-2'. k = 9 Simplifying k = 9
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