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