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Simplifying (7 + 2i) + (2 + 3i) = 0 Remove parenthesis around (7 + 2i) 7 + 2i + (2 + 3i) = 0 Remove parenthesis around (2 + 3i) 7 + 2i + 2 + 3i = 0 Reorder the terms: 7 + 2 + 2i + 3i = 0 Combine like terms: 7 + 2 = 9 9 + 2i + 3i = 0 Combine like terms: 2i + 3i = 5i 9 + 5i = 0 Solving 9 + 5i = 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 + 5i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5i = 0 + -9 5i = 0 + -9 Combine like terms: 0 + -9 = -9 5i = -9 Divide each side by '5'. i = -1.8 Simplifying i = -1.8
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