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