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