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Simplifying (9 + -2i) * 2 = 0 Reorder the terms for easier multiplication: 2(9 + -2i) = 0 (9 * 2 + -2i * 2) = 0 (18 + -4i) = 0 Solving 18 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -4i = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4i = 0 + -18 -4i = 0 + -18 Combine like terms: 0 + -18 = -18 -4i = -18 Divide each side by '-4'. i = 4.5 Simplifying i = 4.5
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