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Simplifying (2n + -1i) * -64 = 0 Reorder the terms: (-1i + 2n) * -64 = 0 Reorder the terms for easier multiplication: -64(-1i + 2n) = 0 (-1i * -64 + 2n * -64) = 0 (64i + -128n) = 0 Solving 64i + -128n = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '128n' to each side of the equation. 64i + -128n + 128n = 0 + 128n Combine like terms: -128n + 128n = 0 64i + 0 = 0 + 128n 64i = 0 + 128n Remove the zero: 64i = 128n Divide each side by '64'. i = 2n Simplifying i = 2n
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