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Simplifying (6 + -7i) + (9 + 2i) = 0 Remove parenthesis around (6 + -7i) 6 + -7i + (9 + 2i) = 0 Remove parenthesis around (9 + 2i) 6 + -7i + 9 + 2i = 0 Reorder the terms: 6 + 9 + -7i + 2i = 0 Combine like terms: 6 + 9 = 15 15 + -7i + 2i = 0 Combine like terms: -7i + 2i = -5i 15 + -5i = 0 Solving 15 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -5i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5i = 0 + -15 -5i = 0 + -15 Combine like terms: 0 + -15 = -15 -5i = -15 Divide each side by '-5'. i = 3 Simplifying i = 3
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