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Simplifying (2 + -5i) * z = 1 Reorder the terms for easier multiplication: z(2 + -5i) = 1 (2 * z + -5i * z) = 1 Reorder the terms: (-5iz + 2z) = 1 (-5iz + 2z) = 1 Solving -5iz + 2z = 1 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2z' to each side of the equation. -5iz + 2z + -2z = 1 + -2z Combine like terms: 2z + -2z = 0 -5iz + 0 = 1 + -2z -5iz = 1 + -2z Divide each side by '-5z'. i = -0.2z-1 + 0.4 Simplifying i = -0.2z-1 + 0.4 Reorder the terms: i = 0.4 + -0.2z-1
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