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Simplifying 2z + iz + i + 7 = 3z + 5i Reorder the terms: 7 + i + iz + 2z = 3z + 5i Reorder the terms: 7 + i + iz + 2z = 5i + 3z Solving 7 + i + iz + 2z = 5i + 3z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 7 + i + iz + -5i + 2z = 5i + -5i + 3z Reorder the terms: 7 + i + -5i + iz + 2z = 5i + -5i + 3z Combine like terms: i + -5i = -4i 7 + -4i + iz + 2z = 5i + -5i + 3z Combine like terms: 5i + -5i = 0 7 + -4i + iz + 2z = 0 + 3z 7 + -4i + iz + 2z = 3z Add '-7' to each side of the equation. 7 + -4i + iz + -7 + 2z = -7 + 3z Reorder the terms: 7 + -7 + -4i + iz + 2z = -7 + 3z Combine like terms: 7 + -7 = 0 0 + -4i + iz + 2z = -7 + 3z -4i + iz + 2z = -7 + 3z Add '-2z' to each side of the equation. -4i + iz + 2z + -2z = -7 + 3z + -2z Combine like terms: 2z + -2z = 0 -4i + iz + 0 = -7 + 3z + -2z -4i + iz = -7 + 3z + -2z Combine like terms: 3z + -2z = 1z -4i + iz = -7 + 1z Reorder the terms: 7 + -4i + iz + -1z = -7 + 1z + 7 + -1z Reorder the terms: 7 + -4i + iz + -1z = -7 + 7 + 1z + -1z Combine like terms: -7 + 7 = 0 7 + -4i + iz + -1z = 0 + 1z + -1z 7 + -4i + iz + -1z = 1z + -1z Combine like terms: 1z + -1z = 0 7 + -4i + iz + -1z = 0 The solution to this equation could not be determined.
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