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Simplifying (3 + 2I) + (4 + -5I) = 0 Remove parenthesis around (3 + 2I) 3 + 2I + (4 + -5I) = 0 Remove parenthesis around (4 + -5I) 3 + 2I + 4 + -5I = 0 Reorder the terms: 3 + 4 + 2I + -5I = 0 Combine like terms: 3 + 4 = 7 7 + 2I + -5I = 0 Combine like terms: 2I + -5I = -3I 7 + -3I = 0 Solving 7 + -3I = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3I = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3I = 0 + -7 -3I = 0 + -7 Combine like terms: 0 + -7 = -7 -3I = -7 Divide each side by '-3'. I = 2.333333333 Simplifying I = 2.333333333
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