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Simplifying (9 + -3i) + (2 + -5i) = 0 Remove parenthesis around (9 + -3i) 9 + -3i + (2 + -5i) = 0 Remove parenthesis around (2 + -5i) 9 + -3i + 2 + -5i = 0 Reorder the terms: 9 + 2 + -3i + -5i = 0 Combine like terms: 9 + 2 = 11 11 + -3i + -5i = 0 Combine like terms: -3i + -5i = -8i 11 + -8i = 0 Solving 11 + -8i = 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 + -8i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8i = 0 + -11 -8i = 0 + -11 Combine like terms: 0 + -11 = -11 -8i = -11 Divide each side by '-8'. i = 1.375 Simplifying i = 1.375
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