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Simplifying (2 + -3i)(-3) = 0 Reorder the terms for easier multiplication: -3(2 + -3i) = 0 (2 * -3 + -3i * -3) = 0 (-6 + 9i) = 0 Solving -6 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9i = 0 + 6 9i = 0 + 6 Combine like terms: 0 + 6 = 6 9i = 6 Divide each side by '9'. i = 0.6666666667 Simplifying i = 0.6666666667
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