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Simplifying 4 + -8k = -4(3k + -6) Reorder the terms: 4 + -8k = -4(-6 + 3k) 4 + -8k = (-6 * -4 + 3k * -4) 4 + -8k = (24 + -12k) Solving 4 + -8k = 24 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 4 + -8k + 12k = 24 + -12k + 12k Combine like terms: -8k + 12k = 4k 4 + 4k = 24 + -12k + 12k Combine like terms: -12k + 12k = 0 4 + 4k = 24 + 0 4 + 4k = 24 Add '-4' to each side of the equation. 4 + -4 + 4k = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 24 + -4 4k = 24 + -4 Combine like terms: 24 + -4 = 20 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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