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Simplifying (7 + -9i) + (2 + 5i) = 0 Remove parenthesis around (7 + -9i) 7 + -9i + (2 + 5i) = 0 Remove parenthesis around (2 + 5i) 7 + -9i + 2 + 5i = 0 Reorder the terms: 7 + 2 + -9i + 5i = 0 Combine like terms: 7 + 2 = 9 9 + -9i + 5i = 0 Combine like terms: -9i + 5i = -4i 9 + -4i = 0 Solving 9 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4i = 0 + -9 -4i = 0 + -9 Combine like terms: 0 + -9 = -9 -4i = -9 Divide each side by '-4'. i = 2.25 Simplifying i = 2.25
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