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Simplifying 0 = (2 + 3i) + (-4 + 5i) Remove parenthesis around (2 + 3i) 0 = 2 + 3i + (-4 + 5i) Remove parenthesis around (-4 + 5i) 0 = 2 + 3i + -4 + 5i Reorder the terms: 0 = 2 + -4 + 3i + 5i Combine like terms: 2 + -4 = -2 0 = -2 + 3i + 5i Combine like terms: 3i + 5i = 8i 0 = -2 + 8i Solving 0 = -2 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 0 + -8i = -2 + 8i + -8i Remove the zero: -8i = -2 + 8i + -8i Combine like terms: 8i + -8i = 0 -8i = -2 + 0 -8i = -2 Divide each side by '-8'. i = 0.25 Simplifying i = 0.25
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