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Simplifying 3i + 4(2 + -5i) = 0 3i + (2 * 4 + -5i * 4) = 0 3i + (8 + -20i) = 0 Reorder the terms: 8 + 3i + -20i = 0 Combine like terms: 3i + -20i = -17i 8 + -17i = 0 Solving 8 + -17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -17i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -17i = 0 + -8 -17i = 0 + -8 Combine like terms: 0 + -8 = -8 -17i = -8 Divide each side by '-17'. i = 0.4705882353 Simplifying i = 0.4705882353
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