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Simplifying (7 + -9i) + (-6 + 5i) = 1 + -4 Remove parenthesis around (7 + -9i) 7 + -9i + (-6 + 5i) = 1 + -4 Remove parenthesis around (-6 + 5i) 7 + -9i + -6 + 5i = 1 + -4 Reorder the terms: 7 + -6 + -9i + 5i = 1 + -4 Combine like terms: 7 + -6 = 1 1 + -9i + 5i = 1 + -4 Combine like terms: -9i + 5i = -4i 1 + -4i = 1 + -4 Combine like terms: 1 + -4 = -3 1 + -4i = -3 Solving 1 + -4i = -3 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 = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -4i = -3 + -1 -4i = -3 + -1 Combine like terms: -3 + -1 = -4 -4i = -4 Divide each side by '-4'. i = 1 Simplifying i = 1
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