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Simplifying 2 + 3i = 4 + 5i Solving 2 + 3i = 4 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 2 + 3i + -5i = 4 + 5i + -5i Combine like terms: 3i + -5i = -2i 2 + -2i = 4 + 5i + -5i Combine like terms: 5i + -5i = 0 2 + -2i = 4 + 0 2 + -2i = 4 Add '-2' to each side of the equation. 2 + -2 + -2i = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2i = 4 + -2 -2i = 4 + -2 Combine like terms: 4 + -2 = 2 -2i = 2 Divide each side by '-2'. i = -1 Simplifying i = -1
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