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Simplifying (4 + -8i) + (5 + 3i) = 0 Remove parenthesis around (4 + -8i) 4 + -8i + (5 + 3i) = 0 Remove parenthesis around (5 + 3i) 4 + -8i + 5 + 3i = 0 Reorder the terms: 4 + 5 + -8i + 3i = 0 Combine like terms: 4 + 5 = 9 9 + -8i + 3i = 0 Combine like terms: -8i + 3i = -5i 9 + -5i = 0 Solving 9 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5i = 0 + -9 -5i = 0 + -9 Combine like terms: 0 + -9 = -9 -5i = -9 Divide each side by '-5'. i = 1.8 Simplifying i = 1.8
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