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Simplifying 0 = (2 + 3i) + (8 + 2i) Remove parenthesis around (2 + 3i) 0 = 2 + 3i + (8 + 2i) Remove parenthesis around (8 + 2i) 0 = 2 + 3i + 8 + 2i Reorder the terms: 0 = 2 + 8 + 3i + 2i Combine like terms: 2 + 8 = 10 0 = 10 + 3i + 2i Combine like terms: 3i + 2i = 5i 0 = 10 + 5i Solving 0 = 10 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 0 + -5i = 10 + 5i + -5i Remove the zero: -5i = 10 + 5i + -5i Combine like terms: 5i + -5i = 0 -5i = 10 + 0 -5i = 10 Divide each side by '-5'. i = -2 Simplifying i = -2
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