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Simplifying 6(3 + 6k) + -9(2 + 5k) = 8k + 3k (3 * 6 + 6k * 6) + -9(2 + 5k) = 8k + 3k (18 + 36k) + -9(2 + 5k) = 8k + 3k 18 + 36k + (2 * -9 + 5k * -9) = 8k + 3k 18 + 36k + (-18 + -45k) = 8k + 3k Reorder the terms: 18 + -18 + 36k + -45k = 8k + 3k Combine like terms: 18 + -18 = 0 0 + 36k + -45k = 8k + 3k 36k + -45k = 8k + 3k Combine like terms: 36k + -45k = -9k -9k = 8k + 3k Combine like terms: 8k + 3k = 11k -9k = 11k Solving -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. -9k + -11k = 11k + -11k Combine like terms: -9k + -11k = -20k -20k = 11k + -11k Combine like terms: 11k + -11k = 0 -20k = 0 Divide each side by '-20'. k = 0.0 Simplifying k = 0.0
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