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Simplifying (-8 + 7i) + -1(8 + -2i) = 0 Remove parenthesis around (-8 + 7i) -8 + 7i + -1(8 + -2i) = 0 -8 + 7i + (8 * -1 + -2i * -1) = 0 -8 + 7i + (-8 + 2i) = 0 Reorder the terms: -8 + -8 + 7i + 2i = 0 Combine like terms: -8 + -8 = -16 -16 + 7i + 2i = 0 Combine like terms: 7i + 2i = 9i -16 + 9i = 0 Solving -16 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9i = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9i = 0 + 16 9i = 0 + 16 Combine like terms: 0 + 16 = 16 9i = 16 Divide each side by '9'. i = 1.777777778 Simplifying i = 1.777777778
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