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Simplifying 3(k + 6) = -3k + -12 Reorder the terms: 3(6 + k) = -3k + -12 (6 * 3 + k * 3) = -3k + -12 (18 + 3k) = -3k + -12 Reorder the terms: 18 + 3k = -12 + -3k Solving 18 + 3k = -12 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 18 + 3k + 3k = -12 + -3k + 3k Combine like terms: 3k + 3k = 6k 18 + 6k = -12 + -3k + 3k Combine like terms: -3k + 3k = 0 18 + 6k = -12 + 0 18 + 6k = -12 Add '-18' to each side of the equation. 18 + -18 + 6k = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 6k = -12 + -18 6k = -12 + -18 Combine like terms: -12 + -18 = -30 6k = -30 Divide each side by '6'. k = -5 Simplifying k = -5
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