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