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Simplifying 3(4 + 11i) = 0 (4 * 3 + 11i * 3) = 0 (12 + 33i) = 0 Solving 12 + 33i = 0 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 + 33i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 33i = 0 + -12 33i = 0 + -12 Combine like terms: 0 + -12 = -12 33i = -12 Divide each side by '33'. i = -0.3636363636 Simplifying i = -0.3636363636
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