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Simplifying (-8 + 8i) + -1(9 + -4i) = 0 Remove parenthesis around (-8 + 8i) -8 + 8i + -1(9 + -4i) = 0 -8 + 8i + (9 * -1 + -4i * -1) = 0 -8 + 8i + (-9 + 4i) = 0 Reorder the terms: -8 + -9 + 8i + 4i = 0 Combine like terms: -8 + -9 = -17 -17 + 8i + 4i = 0 Combine like terms: 8i + 4i = 12i -17 + 12i = 0 Solving -17 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12i = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 12i = 0 + 17 12i = 0 + 17 Combine like terms: 0 + 17 = 17 12i = 17 Divide each side by '12'. i = 1.416666667 Simplifying i = 1.416666667
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