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Simplifying (7 + 3i) + -1(9 + -7i) = 0 Remove parenthesis around (7 + 3i) 7 + 3i + -1(9 + -7i) = 0 7 + 3i + (9 * -1 + -7i * -1) = 0 7 + 3i + (-9 + 7i) = 0 Reorder the terms: 7 + -9 + 3i + 7i = 0 Combine like terms: 7 + -9 = -2 -2 + 3i + 7i = 0 Combine like terms: 3i + 7i = 10i -2 + 10i = 0 Solving -2 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 10i = 0 + 2 10i = 0 + 2 Combine like terms: 0 + 2 = 2 10i = 2 Divide each side by '10'. i = 0.2 Simplifying i = 0.2
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