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Simplifying 8(k + 3) = 12j Reorder the terms: 8(3 + k) = 12j (3 * 8 + k * 8) = 12j (24 + 8k) = 12j Solving 24 + 8k = 12j Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8k = -24 + 12j Combine like terms: 24 + -24 = 0 0 + 8k = -24 + 12j 8k = -24 + 12j Divide each side by '8'. k = -3 + 1.5j Simplifying k = -3 + 1.5j
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