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Simplifying 0 = (8 + 2i) + -1(3 + -7i) Remove parenthesis around (8 + 2i) 0 = 8 + 2i + -1(3 + -7i) 0 = 8 + 2i + (3 * -1 + -7i * -1) 0 = 8 + 2i + (-3 + 7i) Reorder the terms: 0 = 8 + -3 + 2i + 7i Combine like terms: 8 + -3 = 5 0 = 5 + 2i + 7i Combine like terms: 2i + 7i = 9i 0 = 5 + 9i Solving 0 = 5 + 9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9i' to each side of the equation. 0 + -9i = 5 + 9i + -9i Remove the zero: -9i = 5 + 9i + -9i Combine like terms: 9i + -9i = 0 -9i = 5 + 0 -9i = 5 Divide each side by '-9'. i = -0.5555555556 Simplifying i = -0.5555555556
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