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