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Simplifying -4(6 + -5k) = 12k + 16 (6 * -4 + -5k * -4) = 12k + 16 (-24 + 20k) = 12k + 16 Reorder the terms: -24 + 20k = 16 + 12k Solving -24 + 20k = 16 + 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. -24 + 20k + -12k = 16 + 12k + -12k Combine like terms: 20k + -12k = 8k -24 + 8k = 16 + 12k + -12k Combine like terms: 12k + -12k = 0 -24 + 8k = 16 + 0 -24 + 8k = 16 Add '24' to each side of the equation. -24 + 24 + 8k = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 8k = 16 + 24 8k = 16 + 24 Combine like terms: 16 + 24 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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