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Simplifying (2 + -1i) * z + -4 = 0 Reorder the terms for easier multiplication: z(2 + -1i) + -4 = 0 (2 * z + -1i * z) + -4 = 0 Reorder the terms: (-1iz + 2z) + -4 = 0 (-1iz + 2z) + -4 = 0 Reorder the terms: -4 + -1iz + 2z = 0 Solving -4 + -1iz + 2z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1iz + 4 + 2z = 0 + 4 Reorder the terms: -4 + 4 + -1iz + 2z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1iz + 2z = 0 + 4 -1iz + 2z = 0 + 4 Combine like terms: 0 + 4 = 4 -1iz + 2z = 4 Add '-2z' to each side of the equation. -1iz + 2z + -2z = 4 + -2z Combine like terms: 2z + -2z = 0 -1iz + 0 = 4 + -2z -1iz = 4 + -2z Divide each side by '-1z'. i = -4z-1 + 2 Simplifying i = -4z-1 + 2 Reorder the terms: i = 2 + -4z-1
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