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Simplifying (7 + 3i) + (-9 + -8i) = 0 Remove parenthesis around (7 + 3i) 7 + 3i + (-9 + -8i) = 0 Remove parenthesis around (-9 + -8i) 7 + 3i + -9 + -8i = 0 Reorder the terms: 7 + -9 + 3i + -8i = 0 Combine like terms: 7 + -9 = -2 -2 + 3i + -8i = 0 Combine like terms: 3i + -8i = -5i -2 + -5i = 0 Solving -2 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5i = 0 + 2 -5i = 0 + 2 Combine like terms: 0 + 2 = 2 -5i = 2 Divide each side by '-5'. i = -0.4 Simplifying i = -0.4
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