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Simplifying (7 + -6i) + -1(-3 + 5i) = 0 Remove parenthesis around (7 + -6i) 7 + -6i + -1(-3 + 5i) = 0 7 + -6i + (-3 * -1 + 5i * -1) = 0 7 + -6i + (3 + -5i) = 0 Reorder the terms: 7 + 3 + -6i + -5i = 0 Combine like terms: 7 + 3 = 10 10 + -6i + -5i = 0 Combine like terms: -6i + -5i = -11i 10 + -11i = 0 Solving 10 + -11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11i = 0 + -10 -11i = 0 + -10 Combine like terms: 0 + -10 = -10 -11i = -10 Divide each side by '-11'. i = 0.9090909091 Simplifying i = 0.9090909091
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