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Simplifying (9 + -8i) + (9 + 3i) = 0 Remove parenthesis around (9 + -8i) 9 + -8i + (9 + 3i) = 0 Remove parenthesis around (9 + 3i) 9 + -8i + 9 + 3i = 0 Reorder the terms: 9 + 9 + -8i + 3i = 0 Combine like terms: 9 + 9 = 18 18 + -8i + 3i = 0 Combine like terms: -8i + 3i = -5i 18 + -5i = 0 Solving 18 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -5i = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5i = 0 + -18 -5i = 0 + -18 Combine like terms: 0 + -18 = -18 -5i = -18 Divide each side by '-5'. i = 3.6 Simplifying i = 3.6
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