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Simplifying 3z + 4 + -5i = -2iz + 5 Reorder the terms: 4 + -5i + 3z = -2iz + 5 Reorder the terms: 4 + -5i + 3z = 5 + -2iz Solving 4 + -5i + 3z = 5 + -2iz Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2iz' to each side of the equation. 4 + -5i + 2iz + 3z = 5 + -2iz + 2iz Combine like terms: -2iz + 2iz = 0 4 + -5i + 2iz + 3z = 5 + 0 4 + -5i + 2iz + 3z = 5 Add '-4' to each side of the equation. 4 + -5i + 2iz + -4 + 3z = 5 + -4 Reorder the terms: 4 + -4 + -5i + 2iz + 3z = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -5i + 2iz + 3z = 5 + -4 -5i + 2iz + 3z = 5 + -4 Combine like terms: 5 + -4 = 1 -5i + 2iz + 3z = 1 Add '-3z' to each side of the equation. -5i + 2iz + 3z + -3z = 1 + -3z Combine like terms: 3z + -3z = 0 -5i + 2iz + 0 = 1 + -3z -5i + 2iz = 1 + -3z Reorder the terms: -1 + -5i + 2iz + 3z = 1 + -3z + -1 + 3z Reorder the terms: -1 + -5i + 2iz + 3z = 1 + -1 + -3z + 3z Combine like terms: 1 + -1 = 0 -1 + -5i + 2iz + 3z = 0 + -3z + 3z -1 + -5i + 2iz + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 -1 + -5i + 2iz + 3z = 0 The solution to this equation could not be determined.
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