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Simplifying (4 + -9i) + -2(7 + -6i) = 0 Remove parenthesis around (4 + -9i) 4 + -9i + -2(7 + -6i) = 0 4 + -9i + (7 * -2 + -6i * -2) = 0 4 + -9i + (-14 + 12i) = 0 Reorder the terms: 4 + -14 + -9i + 12i = 0 Combine like terms: 4 + -14 = -10 -10 + -9i + 12i = 0 Combine like terms: -9i + 12i = 3i -10 + 3i = 0 Solving -10 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3i = 0 + 10 3i = 0 + 10 Combine like terms: 0 + 10 = 10 3i = 10 Divide each side by '3'. i = 3.333333333 Simplifying i = 3.333333333
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