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Simplifying Z + -1 + 2i = 2z + -1i Reorder the terms: -1 + Z + 2i = 2z + -1i Reorder the terms: -1 + Z + 2i = -1i + 2z Solving -1 + Z + 2i = -1i + 2z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + Z + 1 + 2i = -1i + 1 + 2z Reorder the terms: -1 + 1 + Z + 2i = -1i + 1 + 2z Combine like terms: -1 + 1 = 0 0 + Z + 2i = -1i + 1 + 2z Z + 2i = -1i + 1 + 2z Reorder the terms: Z + 2i = 1 + -1i + 2z Add '-2i' to each side of the equation. Z + 2i + -2i = 1 + -1i + -2i + 2z Combine like terms: 2i + -2i = 0 Z + 0 = 1 + -1i + -2i + 2z Z = 1 + -1i + -2i + 2z Combine like terms: -1i + -2i = -3i Z = 1 + -3i + 2z Simplifying Z = 1 + -3i + 2z
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