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Simplifying (2 + 3i) + (7 + -5i) = 0 Remove parenthesis around (2 + 3i) 2 + 3i + (7 + -5i) = 0 Remove parenthesis around (7 + -5i) 2 + 3i + 7 + -5i = 0 Reorder the terms: 2 + 7 + 3i + -5i = 0 Combine like terms: 2 + 7 = 9 9 + 3i + -5i = 0 Combine like terms: 3i + -5i = -2i 9 + -2i = 0 Solving 9 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2i = 0 + -9 -2i = 0 + -9 Combine like terms: 0 + -9 = -9 -2i = -9 Divide each side by '-2'. i = 4.5 Simplifying i = 4.5
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