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Simplifying (3 + 8i) + (8 + 3i) = 0 Remove parenthesis around (3 + 8i) 3 + 8i + (8 + 3i) = 0 Remove parenthesis around (8 + 3i) 3 + 8i + 8 + 3i = 0 Reorder the terms: 3 + 8 + 8i + 3i = 0 Combine like terms: 3 + 8 = 11 11 + 8i + 3i = 0 Combine like terms: 8i + 3i = 11i 11 + 11i = 0 Solving 11 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 11i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 11i = 0 + -11 11i = 0 + -11 Combine like terms: 0 + -11 = -11 11i = -11 Divide each side by '11'. i = -1 Simplifying i = -1
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