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Simplifying -2(-12k + -4) = 16k Reorder the terms: -2(-4 + -12k) = 16k (-4 * -2 + -12k * -2) = 16k (8 + 24k) = 16k Solving 8 + 24k = 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 8 + 24k + -16k = 16k + -16k Combine like terms: 24k + -16k = 8k 8 + 8k = 16k + -16k Combine like terms: 16k + -16k = 0 8 + 8k = 0 Add '-8' to each side of the equation. 8 + -8 + 8k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8k = 0 + -8 8k = 0 + -8 Combine like terms: 0 + -8 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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