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Simplifying (8 + -4i) + (5 + 6i) = 0 Remove parenthesis around (8 + -4i) 8 + -4i + (5 + 6i) = 0 Remove parenthesis around (5 + 6i) 8 + -4i + 5 + 6i = 0 Reorder the terms: 8 + 5 + -4i + 6i = 0 Combine like terms: 8 + 5 = 13 13 + -4i + 6i = 0 Combine like terms: -4i + 6i = 2i 13 + 2i = 0 Solving 13 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2i = 0 + -13 2i = 0 + -13 Combine like terms: 0 + -13 = -13 2i = -13 Divide each side by '2'. i = -6.5 Simplifying i = -6.5
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