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Simplifying 2(8 + 4k) = 3k + -4 (8 * 2 + 4k * 2) = 3k + -4 (16 + 8k) = 3k + -4 Reorder the terms: 16 + 8k = -4 + 3k Solving 16 + 8k = -4 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 16 + 8k + -3k = -4 + 3k + -3k Combine like terms: 8k + -3k = 5k 16 + 5k = -4 + 3k + -3k Combine like terms: 3k + -3k = 0 16 + 5k = -4 + 0 16 + 5k = -4 Add '-16' to each side of the equation. 16 + -16 + 5k = -4 + -16 Combine like terms: 16 + -16 = 0 0 + 5k = -4 + -16 5k = -4 + -16 Combine like terms: -4 + -16 = -20 5k = -20 Divide each side by '5'. k = -4 Simplifying k = -4
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