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Simplifying (1 + -7i) * 2 = 0 Reorder the terms for easier multiplication: 2(1 + -7i) = 0 (1 * 2 + -7i * 2) = 0 (2 + -14i) = 0 Solving 2 + -14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -14i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -14i = 0 + -2 -14i = 0 + -2 Combine like terms: 0 + -2 = -2 -14i = -2 Divide each side by '-14'. i = 0.1428571429 Simplifying i = 0.1428571429
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