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Simplifying (-8 + -3i) + (-9 + 5i) = 0 Remove parenthesis around (-8 + -3i) -8 + -3i + (-9 + 5i) = 0 Remove parenthesis around (-9 + 5i) -8 + -3i + -9 + 5i = 0 Reorder the terms: -8 + -9 + -3i + 5i = 0 Combine like terms: -8 + -9 = -17 -17 + -3i + 5i = 0 Combine like terms: -3i + 5i = 2i -17 + 2i = 0 Solving -17 + 2i = 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 + 2i = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2i = 0 + 17 2i = 0 + 17 Combine like terms: 0 + 17 = 17 2i = 17 Divide each side by '2'. i = 8.5 Simplifying i = 8.5
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