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Simplifying (9 + -7i) + (5 + 4i) = 0 Remove parenthesis around (9 + -7i) 9 + -7i + (5 + 4i) = 0 Remove parenthesis around (5 + 4i) 9 + -7i + 5 + 4i = 0 Reorder the terms: 9 + 5 + -7i + 4i = 0 Combine like terms: 9 + 5 = 14 14 + -7i + 4i = 0 Combine like terms: -7i + 4i = -3i 14 + -3i = 0 Solving 14 + -3i = 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 + -3i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3i = 0 + -14 -3i = 0 + -14 Combine like terms: 0 + -14 = -14 -3i = -14 Divide each side by '-3'. i = 4.666666667 Simplifying i = 4.666666667
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