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