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Simplifying -6(-9k + -6) = 36 + 8k Reorder the terms: -6(-6 + -9k) = 36 + 8k (-6 * -6 + -9k * -6) = 36 + 8k (36 + 54k) = 36 + 8k Add '-36' to each side of the equation. 36 + -36 + 54k = 36 + -36 + 8k Combine like terms: 36 + -36 = 0 0 + 54k = 36 + -36 + 8k 54k = 36 + -36 + 8k Combine like terms: 36 + -36 = 0 54k = 0 + 8k 54k = 8k Solving 54k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 54k + -8k = 8k + -8k Combine like terms: 54k + -8k = 46k 46k = 8k + -8k Combine like terms: 8k + -8k = 0 46k = 0 Divide each side by '46'. k = 0 Simplifying k = 0
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