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Simplifying (9 + 3i) + (8 + -2i) = 0 Remove parenthesis around (9 + 3i) 9 + 3i + (8 + -2i) = 0 Remove parenthesis around (8 + -2i) 9 + 3i + 8 + -2i = 0 Reorder the terms: 9 + 8 + 3i + -2i = 0 Combine like terms: 9 + 8 = 17 17 + 3i + -2i = 0 Combine like terms: 3i + -2i = 1i 17 + 1i = 0 Solving 17 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1i = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1i = 0 + -17 1i = 0 + -17 Combine like terms: 0 + -17 = -17 1i = -17 Divide each side by '1'. i = -17 Simplifying i = -17
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