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Simplifying (-2 + 4i) + (3 + 9i) = 0 Remove parenthesis around (-2 + 4i) -2 + 4i + (3 + 9i) = 0 Remove parenthesis around (3 + 9i) -2 + 4i + 3 + 9i = 0 Reorder the terms: -2 + 3 + 4i + 9i = 0 Combine like terms: -2 + 3 = 1 1 + 4i + 9i = 0 Combine like terms: 4i + 9i = 13i 1 + 13i = 0 Solving 1 + 13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 13i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 13i = 0 + -1 13i = 0 + -1 Combine like terms: 0 + -1 = -1 13i = -1 Divide each side by '13'. i = -0.07692307692 Simplifying i = -0.07692307692
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