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Simplifying -3(-5k + -6) + 6k = 18 + -6k Reorder the terms: -3(-6 + -5k) + 6k = 18 + -6k (-6 * -3 + -5k * -3) + 6k = 18 + -6k (18 + 15k) + 6k = 18 + -6k Combine like terms: 15k + 6k = 21k 18 + 21k = 18 + -6k Add '-18' to each side of the equation. 18 + -18 + 21k = 18 + -18 + -6k Combine like terms: 18 + -18 = 0 0 + 21k = 18 + -18 + -6k 21k = 18 + -18 + -6k Combine like terms: 18 + -18 = 0 21k = 0 + -6k 21k = -6k Solving 21k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 21k + 6k = -6k + 6k Combine like terms: 21k + 6k = 27k 27k = -6k + 6k Combine like terms: -6k + 6k = 0 27k = 0 Divide each side by '27'. k = 0 Simplifying k = 0
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