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Simplifying (-11 + 2i) + -1(8 + -7i) = 0 Remove parenthesis around (-11 + 2i) -11 + 2i + -1(8 + -7i) = 0 -11 + 2i + (8 * -1 + -7i * -1) = 0 -11 + 2i + (-8 + 7i) = 0 Reorder the terms: -11 + -8 + 2i + 7i = 0 Combine like terms: -11 + -8 = -19 -19 + 2i + 7i = 0 Combine like terms: 2i + 7i = 9i -19 + 9i = 0 Solving -19 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 9i = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 9i = 0 + 19 9i = 0 + 19 Combine like terms: 0 + 19 = 19 9i = 19 Divide each side by '9'. i = 2.111111111 Simplifying i = 2.111111111
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