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Simplifying (9 + 5i) + (-8 + -9i) = 0 Remove parenthesis around (9 + 5i) 9 + 5i + (-8 + -9i) = 0 Remove parenthesis around (-8 + -9i) 9 + 5i + -8 + -9i = 0 Reorder the terms: 9 + -8 + 5i + -9i = 0 Combine like terms: 9 + -8 = 1 1 + 5i + -9i = 0 Combine like terms: 5i + -9i = -4i 1 + -4i = 0 Solving 1 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4i = 0 + -1 -4i = 0 + -1 Combine like terms: 0 + -1 = -1 -4i = -1 Divide each side by '-4'. i = 0.25 Simplifying i = 0.25
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