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Simplifying (-2 + 5i) + (1 + -7i) = 0 Remove parenthesis around (-2 + 5i) -2 + 5i + (1 + -7i) = 0 Remove parenthesis around (1 + -7i) -2 + 5i + 1 + -7i = 0 Reorder the terms: -2 + 1 + 5i + -7i = 0 Combine like terms: -2 + 1 = -1 -1 + 5i + -7i = 0 Combine like terms: 5i + -7i = -2i -1 + -2i = 0 Solving -1 + -2i = 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 + 1 + -2i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2i = 0 + 1 -2i = 0 + 1 Combine like terms: 0 + 1 = 1 -2i = 1 Divide each side by '-2'. i = -0.5 Simplifying i = -0.5
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