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Simplifying (8 + 2i) + (3 + -4i) = 0 Remove parenthesis around (8 + 2i) 8 + 2i + (3 + -4i) = 0 Remove parenthesis around (3 + -4i) 8 + 2i + 3 + -4i = 0 Reorder the terms: 8 + 3 + 2i + -4i = 0 Combine like terms: 8 + 3 = 11 11 + 2i + -4i = 0 Combine like terms: 2i + -4i = -2i 11 + -2i = 0 Solving 11 + -2i = 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 + -2i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2i = 0 + -11 -2i = 0 + -11 Combine like terms: 0 + -11 = -11 -2i = -11 Divide each side by '-2'. i = 5.5 Simplifying i = 5.5
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