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Simplifying (-3 + 2i) + (-4 + -1I) = 0 Remove parenthesis around (-3 + 2i) -3 + 2i + (-4 + -1I) = 0 Remove parenthesis around (-4 + -1I) -3 + 2i + -4 + -1I = 0 Reorder the terms: -3 + -4 + -1I + 2i = 0 Combine like terms: -3 + -4 = -7 -7 + -1I + 2i = 0 Solving -7 + -1I + 2i = 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 + -1I + 7 + 2i = 0 + 7 Reorder the terms: -7 + 7 + -1I + 2i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1I + 2i = 0 + 7 -1I + 2i = 0 + 7 Combine like terms: 0 + 7 = 7 -1I + 2i = 7 Add '-2i' to each side of the equation. -1I + 2i + -2i = 7 + -2i Combine like terms: 2i + -2i = 0 -1I + 0 = 7 + -2i -1I = 7 + -2i Divide each side by '-1'. I = -7 + 2i Simplifying I = -7 + 2i
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