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Simplifying (-5 + 4i) + (4 + I) = 0 Remove parenthesis around (-5 + 4i) -5 + 4i + (4 + I) = 0 Remove parenthesis around (4 + I) -5 + 4i + 4 + I = 0 Reorder the terms: -5 + 4 + I + 4i = 0 Combine like terms: -5 + 4 = -1 -1 + I + 4i = 0 Solving -1 + I + 4i = 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 + I + 1 + 4i = 0 + 1 Reorder the terms: -1 + 1 + I + 4i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + I + 4i = 0 + 1 I + 4i = 0 + 1 Combine like terms: 0 + 1 = 1 I + 4i = 1 Add '-4i' to each side of the equation. I + 4i + -4i = 1 + -4i Combine like terms: 4i + -4i = 0 I + 0 = 1 + -4i I = 1 + -4i Simplifying I = 1 + -4i
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