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Simplifying -4 + (9 + -2i) + 3i = 0 Remove parenthesis around (9 + -2i) -4 + 9 + -2i + 3i = 0 Combine like terms: -4 + 9 = 5 5 + -2i + 3i = 0 Combine like terms: -2i + 3i = 1i 5 + 1i = 0 Solving 5 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1i = 0 + -5 1i = 0 + -5 Combine like terms: 0 + -5 = -5 1i = -5 Divide each side by '1'. i = -5 Simplifying i = -5
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