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Simplifying (3 + -4i) * z = 7 Reorder the terms for easier multiplication: z(3 + -4i) = 7 (3 * z + -4i * z) = 7 Reorder the terms: (-4iz + 3z) = 7 (-4iz + 3z) = 7 Solving -4iz + 3z = 7 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3z' to each side of the equation. -4iz + 3z + -3z = 7 + -3z Combine like terms: 3z + -3z = 0 -4iz + 0 = 7 + -3z -4iz = 7 + -3z Divide each side by '-4z'. i = -1.75z-1 + 0.75 Simplifying i = -1.75z-1 + 0.75 Reorder the terms: i = 0.75 + -1.75z-1
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