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Simplifying (4 + -2i) + 2 + -7 = 0 Remove parenthesis around (4 + -2i) 4 + -2i + 2 + -7 = 0 Reorder the terms: 4 + 2 + -7 + -2i = 0 Combine like terms: 4 + 2 = 6 6 + -7 + -2i = 0 Combine like terms: 6 + -7 = -1 -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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