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Simplifying Z + iz + -3 + -1i = 0 Reorder the terms: -3 + Z + -1i + iz = 0 Solving -3 + Z + -1i + iz = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + Z + -1i + 3 + iz = 0 + 3 Reorder the terms: -3 + 3 + Z + -1i + iz = 0 + 3 Combine like terms: -3 + 3 = 0 0 + Z + -1i + iz = 0 + 3 Z + -1i + iz = 0 + 3 Combine like terms: 0 + 3 = 3 Z + -1i + iz = 3 Add 'i' to each side of the equation. Z + -1i + i + iz = 3 + i Combine like terms: -1i + i = 0 Z + 0 + iz = 3 + i Z + iz = 3 + i Add '-1iz' to each side of the equation. Z + iz + -1iz = 3 + i + -1iz Combine like terms: iz + -1iz = 0 Z + 0 = 3 + i + -1iz Z = 3 + i + -1iz Simplifying Z = 3 + i + -1iz
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