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Simplifying -3(k + -4) = 3(-6 + -6k) Reorder the terms: -3(-4 + k) = 3(-6 + -6k) (-4 * -3 + k * -3) = 3(-6 + -6k) (12 + -3k) = 3(-6 + -6k) 12 + -3k = (-6 * 3 + -6k * 3) 12 + -3k = (-18 + -18k) Solving 12 + -3k = -18 + -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 + -3k + 18k = -18 + -18k + 18k Combine like terms: -3k + 18k = 15k 12 + 15k = -18 + -18k + 18k Combine like terms: -18k + 18k = 0 12 + 15k = -18 + 0 12 + 15k = -18 Add '-12' to each side of the equation. 12 + -12 + 15k = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 15k = -18 + -12 15k = -18 + -12 Combine like terms: -18 + -12 = -30 15k = -30 Divide each side by '15'. k = -2 Simplifying k = -2
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