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Simplifying (5 + 6i) = (-2 + 3) Remove parenthesis around (5 + 6i) 5 + 6i = (-2 + 3) Combine like terms: -2 + 3 = 1 5 + 6i = (1) 5 + 6i = 1 Solving 5 + 6i = 1 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 + 6i = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 6i = 1 + -5 6i = 1 + -5 Combine like terms: 1 + -5 = -4 6i = -4 Divide each side by '6'. i = -0.6666666667 Simplifying i = -0.6666666667
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