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Simplifying (2 + 3i) + (7 + -5i) + -7 = 0 Remove parenthesis around (2 + 3i) 2 + 3i + (7 + -5i) + -7 = 0 Remove parenthesis around (7 + -5i) 2 + 3i + 7 + -5i + -7 = 0 Reorder the terms: 2 + 7 + -7 + 3i + -5i = 0 Combine like terms: 2 + 7 = 9 9 + -7 + 3i + -5i = 0 Combine like terms: 9 + -7 = 2 2 + 3i + -5i = 0 Combine like terms: 3i + -5i = -2i 2 + -2i = 0 Solving 2 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2i = 0 + -2 -2i = 0 + -2 Combine like terms: 0 + -2 = -2 -2i = -2 Divide each side by '-2'. i = 1 Simplifying i = 1
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