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Simplifying 6(k + 4) = 3k + -12 Reorder the terms: 6(4 + k) = 3k + -12 (4 * 6 + k * 6) = 3k + -12 (24 + 6k) = 3k + -12 Reorder the terms: 24 + 6k = -12 + 3k Solving 24 + 6k = -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. 24 + 6k + -3k = -12 + 3k + -3k Combine like terms: 6k + -3k = 3k 24 + 3k = -12 + 3k + -3k Combine like terms: 3k + -3k = 0 24 + 3k = -12 + 0 24 + 3k = -12 Add '-24' to each side of the equation. 24 + -24 + 3k = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 3k = -12 + -24 3k = -12 + -24 Combine like terms: -12 + -24 = -36 3k = -36 Divide each side by '3'. k = -12 Simplifying k = -12
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