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Simplifying (-3 + 2i) + -1(6 + i) = 0 Remove parenthesis around (-3 + 2i) -3 + 2i + -1(6 + i) = 0 -3 + 2i + (6 * -1 + i * -1) = 0 -3 + 2i + (-6 + -1i) = 0 Reorder the terms: -3 + -6 + 2i + -1i = 0 Combine like terms: -3 + -6 = -9 -9 + 2i + -1i = 0 Combine like terms: 2i + -1i = 1i -9 + 1i = 0 Solving -9 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1i = 0 + 9 1i = 0 + 9 Combine like terms: 0 + 9 = 9 1i = 9 Divide each side by '1'. i = 9 Simplifying i = 9
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