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Simplifying (3 + 6i) = (4 + -5i) Remove parenthesis around (3 + 6i) 3 + 6i = (4 + -5i) Remove parenthesis around (4 + -5i) 3 + 6i = 4 + -5i Solving 3 + 6i = 4 + -5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5i' to each side of the equation. 3 + 6i + 5i = 4 + -5i + 5i Combine like terms: 6i + 5i = 11i 3 + 11i = 4 + -5i + 5i Combine like terms: -5i + 5i = 0 3 + 11i = 4 + 0 3 + 11i = 4 Add '-3' to each side of the equation. 3 + -3 + 11i = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 11i = 4 + -3 11i = 4 + -3 Combine like terms: 4 + -3 = 1 11i = 1 Divide each side by '11'. i = 0.09090909091 Simplifying i = 0.09090909091
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