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Simplifying (-2 + 7i) + (-4 + -5i) = 0 Remove parenthesis around (-2 + 7i) -2 + 7i + (-4 + -5i) = 0 Remove parenthesis around (-4 + -5i) -2 + 7i + -4 + -5i = 0 Reorder the terms: -2 + -4 + 7i + -5i = 0 Combine like terms: -2 + -4 = -6 -6 + 7i + -5i = 0 Combine like terms: 7i + -5i = 2i -6 + 2i = 0 Solving -6 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2i = 0 + 6 2i = 0 + 6 Combine like terms: 0 + 6 = 6 2i = 6 Divide each side by '2'. i = 3 Simplifying i = 3
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