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Simplifying (4 + -5i) + (-9 + 10i) = 0 Remove parenthesis around (4 + -5i) 4 + -5i + (-9 + 10i) = 0 Remove parenthesis around (-9 + 10i) 4 + -5i + -9 + 10i = 0 Reorder the terms: 4 + -9 + -5i + 10i = 0 Combine like terms: 4 + -9 = -5 -5 + -5i + 10i = 0 Combine like terms: -5i + 10i = 5i -5 + 5i = 0 Solving -5 + 5i = 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 + 5i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5i = 0 + 5 5i = 0 + 5 Combine like terms: 0 + 5 = 5 5i = 5 Divide each side by '5'. i = 1 Simplifying i = 1
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