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Simplifying (5 + 6i) = (-2 + 3i) Remove parenthesis around (5 + 6i) 5 + 6i = (-2 + 3i) Remove parenthesis around (-2 + 3i) 5 + 6i = -2 + 3i Solving 5 + 6i = -2 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 5 + 6i + -3i = -2 + 3i + -3i Combine like terms: 6i + -3i = 3i 5 + 3i = -2 + 3i + -3i Combine like terms: 3i + -3i = 0 5 + 3i = -2 + 0 5 + 3i = -2 Add '-5' to each side of the equation. 5 + -5 + 3i = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 3i = -2 + -5 3i = -2 + -5 Combine like terms: -2 + -5 = -7 3i = -7 Divide each side by '3'. i = -2.333333333 Simplifying i = -2.333333333
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