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Simplifying 2i + z = 3 + -1i Solving 2i + z = 3 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 2i + i + z = 3 + -1i + i Combine like terms: 2i + i = 3i 3i + z = 3 + -1i + i Combine like terms: -1i + i = 0 3i + z = 3 + 0 3i + z = 3 Add '-1z' to each side of the equation. 3i + z + -1z = 3 + -1z Combine like terms: z + -1z = 0 3i + 0 = 3 + -1z 3i = 3 + -1z Divide each side by '3'. i = 1 + -0.3333333333z Simplifying i = 1 + -0.3333333333z
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