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Simplifying Z + 2 + -1i(z + 1) = 0 Reorder the terms: Z + 2 + -1i(1 + z) = 0 Z + 2 + (1 * -1i + z * -1i) = 0 Z + 2 + (-1i + -1iz) = 0 Reorder the terms: 2 + Z + -1i + -1iz = 0 Solving 2 + Z + -1i + -1iz = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + Z + -1i + -2 + -1iz = 0 + -2 Reorder the terms: 2 + -2 + Z + -1i + -1iz = 0 + -2 Combine like terms: 2 + -2 = 0 0 + Z + -1i + -1iz = 0 + -2 Z + -1i + -1iz = 0 + -2 Combine like terms: 0 + -2 = -2 Z + -1i + -1iz = -2 Add 'i' to each side of the equation. Z + -1i + i + -1iz = -2 + i Combine like terms: -1i + i = 0 Z + 0 + -1iz = -2 + i Z + -1iz = -2 + i Add 'iz' to each side of the equation. Z + -1iz + iz = -2 + i + iz Combine like terms: -1iz + iz = 0 Z + 0 = -2 + i + iz Z = -2 + i + iz Simplifying Z = -2 + i + iz
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