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Simplifying (2 + -5i) + (3 + 4i) = 0 Remove parenthesis around (2 + -5i) 2 + -5i + (3 + 4i) = 0 Remove parenthesis around (3 + 4i) 2 + -5i + 3 + 4i = 0 Reorder the terms: 2 + 3 + -5i + 4i = 0 Combine like terms: 2 + 3 = 5 5 + -5i + 4i = 0 Combine like terms: -5i + 4i = -1i 5 + -1i = 0 Solving 5 + -1i = 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 + -1i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1i = 0 + -5 -1i = 0 + -5 Combine like terms: 0 + -5 = -5 -1i = -5 Divide each side by '-1'. i = 5 Simplifying i = 5
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