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