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Simplifying 4(3i + -6) = 0 Reorder the terms: 4(-6 + 3i) = 0 (-6 * 4 + 3i * 4) = 0 (-24 + 12i) = 0 Solving -24 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 12i = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12i = 0 + 24 12i = 0 + 24 Combine like terms: 0 + 24 = 24 12i = 24 Divide each side by '12'. i = 2 Simplifying i = 2
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