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Simplifying (7 + 6i) + -1(9 + -3i) = 0 Remove parenthesis around (7 + 6i) 7 + 6i + -1(9 + -3i) = 0 7 + 6i + (9 * -1 + -3i * -1) = 0 7 + 6i + (-9 + 3i) = 0 Reorder the terms: 7 + -9 + 6i + 3i = 0 Combine like terms: 7 + -9 = -2 -2 + 6i + 3i = 0 Combine like terms: 6i + 3i = 9i -2 + 9i = 0 Solving -2 + 9i = 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 + 9i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9i = 0 + 2 9i = 0 + 2 Combine like terms: 0 + 2 = 2 9i = 2 Divide each side by '9'. i = 0.2222222222 Simplifying i = 0.2222222222
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