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Simplifying (6 + -9i) + (17 + -12i) = 0 Remove parenthesis around (6 + -9i) 6 + -9i + (17 + -12i) = 0 Remove parenthesis around (17 + -12i) 6 + -9i + 17 + -12i = 0 Reorder the terms: 6 + 17 + -9i + -12i = 0 Combine like terms: 6 + 17 = 23 23 + -9i + -12i = 0 Combine like terms: -9i + -12i = -21i 23 + -21i = 0 Solving 23 + -21i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -21i = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -21i = 0 + -23 -21i = 0 + -23 Combine like terms: 0 + -23 = -23 -21i = -23 Divide each side by '-21'. i = 1.095238095 Simplifying i = 1.095238095
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