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Simplifying (3 + 2i) + (8i + -4) = 0 Remove parenthesis around (3 + 2i) 3 + 2i + (8i + -4) = 0 Reorder the terms: 3 + 2i + (-4 + 8i) = 0 Remove parenthesis around (-4 + 8i) 3 + 2i + -4 + 8i = 0 Reorder the terms: 3 + -4 + 2i + 8i = 0 Combine like terms: 3 + -4 = -1 -1 + 2i + 8i = 0 Combine like terms: 2i + 8i = 10i -1 + 10i = 0 Solving -1 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10i = 0 + 1 10i = 0 + 1 Combine like terms: 0 + 1 = 1 10i = 1 Divide each side by '10'. i = 0.1 Simplifying i = 0.1
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