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Simplifying (6 + 5i) = (7 + -7i) Remove parenthesis around (6 + 5i) 6 + 5i = (7 + -7i) Remove parenthesis around (7 + -7i) 6 + 5i = 7 + -7i Solving 6 + 5i = 7 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. 6 + 5i + 7i = 7 + -7i + 7i Combine like terms: 5i + 7i = 12i 6 + 12i = 7 + -7i + 7i Combine like terms: -7i + 7i = 0 6 + 12i = 7 + 0 6 + 12i = 7 Add '-6' to each side of the equation. 6 + -6 + 12i = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 12i = 7 + -6 12i = 7 + -6 Combine like terms: 7 + -6 = 1 12i = 1 Divide each side by '12'. i = 0.08333333333 Simplifying i = 0.08333333333
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