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Simplifying (3 + 2i) = (17 + 7i) Remove parenthesis around (3 + 2i) 3 + 2i = (17 + 7i) Remove parenthesis around (17 + 7i) 3 + 2i = 17 + 7i Solving 3 + 2i = 17 + 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. 3 + 2i + -7i = 17 + 7i + -7i Combine like terms: 2i + -7i = -5i 3 + -5i = 17 + 7i + -7i Combine like terms: 7i + -7i = 0 3 + -5i = 17 + 0 3 + -5i = 17 Add '-3' to each side of the equation. 3 + -3 + -5i = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -5i = 17 + -3 -5i = 17 + -3 Combine like terms: 17 + -3 = 14 -5i = 14 Divide each side by '-5'. i = -2.8 Simplifying i = -2.8
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