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Simplifying -3(k + -4) = -12 + -6k Reorder the terms: -3(-4 + k) = -12 + -6k (-4 * -3 + k * -3) = -12 + -6k (12 + -3k) = -12 + -6k Solving 12 + -3k = -12 + -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. 12 + -3k + 6k = -12 + -6k + 6k Combine like terms: -3k + 6k = 3k 12 + 3k = -12 + -6k + 6k Combine like terms: -6k + 6k = 0 12 + 3k = -12 + 0 12 + 3k = -12 Add '-12' to each side of the equation. 12 + -12 + 3k = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = -12 + -12 3k = -12 + -12 Combine like terms: -12 + -12 = -24 3k = -24 Divide each side by '3'. k = -8 Simplifying k = -8
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