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Simplifying (6 + -9i) + -1(17 + -12i) = 0 Remove parenthesis around (6 + -9i) 6 + -9i + -1(17 + -12i) = 0 6 + -9i + (17 * -1 + -12i * -1) = 0 6 + -9i + (-17 + 12i) = 0 Reorder the terms: 6 + -17 + -9i + 12i = 0 Combine like terms: 6 + -17 = -11 -11 + -9i + 12i = 0 Combine like terms: -9i + 12i = 3i -11 + 3i = 0 Solving -11 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3i = 0 + 11 3i = 0 + 11 Combine like terms: 0 + 11 = 11 3i = 11 Divide each side by '3'. i = 3.666666667 Simplifying i = 3.666666667
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