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Simplifying (-1 + 2i) + (6 + -9i) = 0 Remove parenthesis around (-1 + 2i) -1 + 2i + (6 + -9i) = 0 Remove parenthesis around (6 + -9i) -1 + 2i + 6 + -9i = 0 Reorder the terms: -1 + 6 + 2i + -9i = 0 Combine like terms: -1 + 6 = 5 5 + 2i + -9i = 0 Combine like terms: 2i + -9i = -7i 5 + -7i = 0 Solving 5 + -7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7i = 0 + -5 -7i = 0 + -5 Combine like terms: 0 + -5 = -5 -7i = -5 Divide each side by '-7'. i = 0.7142857143 Simplifying i = 0.7142857143
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