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Simplifying (2 + -4i) + (3 + 7i) = 0 Remove parenthesis around (2 + -4i) 2 + -4i + (3 + 7i) = 0 Remove parenthesis around (3 + 7i) 2 + -4i + 3 + 7i = 0 Reorder the terms: 2 + 3 + -4i + 7i = 0 Combine like terms: 2 + 3 = 5 5 + -4i + 7i = 0 Combine like terms: -4i + 7i = 3i 5 + 3i = 0 Solving 5 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3i = 0 + -5 3i = 0 + -5 Combine like terms: 0 + -5 = -5 3i = -5 Divide each side by '3'. i = -1.666666667 Simplifying i = -1.666666667
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