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Simplifying (7 + -9i) + (7 + 3i) = 0 Remove parenthesis around (7 + -9i) 7 + -9i + (7 + 3i) = 0 Remove parenthesis around (7 + 3i) 7 + -9i + 7 + 3i = 0 Reorder the terms: 7 + 7 + -9i + 3i = 0 Combine like terms: 7 + 7 = 14 14 + -9i + 3i = 0 Combine like terms: -9i + 3i = -6i 14 + -6i = 0 Solving 14 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -6i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6i = 0 + -14 -6i = 0 + -14 Combine like terms: 0 + -14 = -14 -6i = -14 Divide each side by '-6'. i = 2.333333333 Simplifying i = 2.333333333
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