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Simplifying (5 + 2i) = (5 + -9i) Remove parenthesis around (5 + 2i) 5 + 2i = (5 + -9i) Remove parenthesis around (5 + -9i) 5 + 2i = 5 + -9i Add '-5' to each side of the equation. 5 + -5 + 2i = 5 + -5 + -9i Combine like terms: 5 + -5 = 0 0 + 2i = 5 + -5 + -9i 2i = 5 + -5 + -9i Combine like terms: 5 + -5 = 0 2i = 0 + -9i 2i = -9i Solving 2i = -9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9i' to each side of the equation. 2i + 9i = -9i + 9i Combine like terms: 2i + 9i = 11i 11i = -9i + 9i Combine like terms: -9i + 9i = 0 11i = 0 Divide each side by '11'. i = 0 Simplifying i = 0
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