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Simplifying -6(k + -1) = -3(4 + 8k) Reorder the terms: -6(-1 + k) = -3(4 + 8k) (-1 * -6 + k * -6) = -3(4 + 8k) (6 + -6k) = -3(4 + 8k) 6 + -6k = (4 * -3 + 8k * -3) 6 + -6k = (-12 + -24k) Solving 6 + -6k = -12 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 6 + -6k + 24k = -12 + -24k + 24k Combine like terms: -6k + 24k = 18k 6 + 18k = -12 + -24k + 24k Combine like terms: -24k + 24k = 0 6 + 18k = -12 + 0 6 + 18k = -12 Add '-6' to each side of the equation. 6 + -6 + 18k = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 18k = -12 + -6 18k = -12 + -6 Combine like terms: -12 + -6 = -18 18k = -18 Divide each side by '18'. k = -1 Simplifying k = -1
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