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Simplifying (3 + 6i) + -1(7 + -3i) = 0 Remove parenthesis around (3 + 6i) 3 + 6i + -1(7 + -3i) = 0 3 + 6i + (7 * -1 + -3i * -1) = 0 3 + 6i + (-7 + 3i) = 0 Reorder the terms: 3 + -7 + 6i + 3i = 0 Combine like terms: 3 + -7 = -4 -4 + 6i + 3i = 0 Combine like terms: 6i + 3i = 9i -4 + 9i = 0 Solving -4 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9i = 0 + 4 9i = 0 + 4 Combine like terms: 0 + 4 = 4 9i = 4 Divide each side by '9'. i = 0.4444444444 Simplifying i = 0.4444444444
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