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Simplifying (8 + 2i) + (1 + 4i) = 0 Remove parenthesis around (8 + 2i) 8 + 2i + (1 + 4i) = 0 Remove parenthesis around (1 + 4i) 8 + 2i + 1 + 4i = 0 Reorder the terms: 8 + 1 + 2i + 4i = 0 Combine like terms: 8 + 1 = 9 9 + 2i + 4i = 0 Combine like terms: 2i + 4i = 6i 9 + 6i = 0 Solving 9 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6i = 0 + -9 6i = 0 + -9 Combine like terms: 0 + -9 = -9 6i = -9 Divide each side by '6'. i = -1.5 Simplifying i = -1.5
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