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Simplifying iz + 4 = z(2 + -5i) Reorder the terms: 4 + iz = z(2 + -5i) 4 + iz = (2 * z + -5i * z) Reorder the terms: 4 + iz = (-5iz + 2z) 4 + iz = (-5iz + 2z) Solving 4 + iz = -5iz + 2z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5iz' to each side of the equation. 4 + iz + 5iz = -5iz + 5iz + 2z Combine like terms: iz + 5iz = 6iz 4 + 6iz = -5iz + 5iz + 2z Combine like terms: -5iz + 5iz = 0 4 + 6iz = 0 + 2z 4 + 6iz = 2z Add '-4' to each side of the equation. 4 + -4 + 6iz = -4 + 2z Combine like terms: 4 + -4 = 0 0 + 6iz = -4 + 2z 6iz = -4 + 2z Divide each side by '6z'. i = -0.6666666667z-1 + 0.3333333333 Simplifying i = -0.6666666667z-1 + 0.3333333333 Reorder the terms: i = 0.3333333333 + -0.6666666667z-1
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