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Simplifying -7 + (i) + (4 + -2i) = 0 -7 + i + (4 + -2i) = 0 Remove parenthesis around (4 + -2i) -7 + i + 4 + -2i = 0 Reorder the terms: -7 + 4 + i + -2i = 0 Combine like terms: -7 + 4 = -3 -3 + i + -2i = 0 Combine like terms: i + -2i = -1i -3 + -1i = 0 Solving -3 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1i = 0 + 3 -1i = 0 + 3 Combine like terms: 0 + 3 = 3 -1i = 3 Divide each side by '-1'. i = -3 Simplifying i = -3
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