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Simplifying (-6 + 6i) * z = 6 Reorder the terms for easier multiplication: z(-6 + 6i) = 6 (-6 * z + 6i * z) = 6 Reorder the terms: (6iz + -6z) = 6 (6iz + -6z) = 6 Solving 6iz + -6z = 6 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6z' to each side of the equation. 6iz + -6z + 6z = 6 + 6z Combine like terms: -6z + 6z = 0 6iz + 0 = 6 + 6z 6iz = 6 + 6z Divide each side by '6z'. i = z-1 + 1 Simplifying i = z-1 + 1 Reorder the terms: i = 1 + z-1
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