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Simplifying 4(3i + 3) = 24 Reorder the terms: 4(3 + 3i) = 24 (3 * 4 + 3i * 4) = 24 (12 + 12i) = 24 Solving 12 + 12i = 24 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12i = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 12i = 24 + -12 12i = 24 + -12 Combine like terms: 24 + -12 = 12 12i = 12 Divide each side by '12'. i = 1 Simplifying i = 1
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