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Simplifying 3(8 + 4k) + 8 = 0 (8 * 3 + 4k * 3) + 8 = 0 (24 + 12k) + 8 = 0 Reorder the terms: 24 + 8 + 12k = 0 Combine like terms: 24 + 8 = 32 32 + 12k = 0 Solving 32 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 12k = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 12k = 0 + -32 12k = 0 + -32 Combine like terms: 0 + -32 = -32 12k = -32 Divide each side by '12'. k = -2.666666667 Simplifying k = -2.666666667
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