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Simplifying 0 = (3 + 2i) + (5 + -1i) Remove parenthesis around (3 + 2i) 0 = 3 + 2i + (5 + -1i) Remove parenthesis around (5 + -1i) 0 = 3 + 2i + 5 + -1i Reorder the terms: 0 = 3 + 5 + 2i + -1i Combine like terms: 3 + 5 = 8 0 = 8 + 2i + -1i Combine like terms: 2i + -1i = 1i 0 = 8 + 1i Solving 0 = 8 + 1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 0 + -1i = 8 + 1i + -1i Remove the zero: -1i = 8 + 1i + -1i Combine like terms: 1i + -1i = 0 -1i = 8 + 0 -1i = 8 Divide each side by '-1'. i = -8 Simplifying i = -8
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