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Simplifying -2(-6k + -6) = 2(9k + 12) Reorder the terms: -2(-6 + -6k) = 2(9k + 12) (-6 * -2 + -6k * -2) = 2(9k + 12) (12 + 12k) = 2(9k + 12) Reorder the terms: 12 + 12k = 2(12 + 9k) 12 + 12k = (12 * 2 + 9k * 2) 12 + 12k = (24 + 18k) Solving 12 + 12k = 24 + 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. 12 + 12k + -18k = 24 + 18k + -18k Combine like terms: 12k + -18k = -6k 12 + -6k = 24 + 18k + -18k Combine like terms: 18k + -18k = 0 12 + -6k = 24 + 0 12 + -6k = 24 Add '-12' to each side of the equation. 12 + -12 + -6k = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -6k = 24 + -12 -6k = 24 + -12 Combine like terms: 24 + -12 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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