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Simplifying (2 + 5i) = (1 + -2i) Remove parenthesis around (2 + 5i) 2 + 5i = (1 + -2i) Remove parenthesis around (1 + -2i) 2 + 5i = 1 + -2i Solving 2 + 5i = 1 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. 2 + 5i + 2i = 1 + -2i + 2i Combine like terms: 5i + 2i = 7i 2 + 7i = 1 + -2i + 2i Combine like terms: -2i + 2i = 0 2 + 7i = 1 + 0 2 + 7i = 1 Add '-2' to each side of the equation. 2 + -2 + 7i = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 7i = 1 + -2 7i = 1 + -2 Combine like terms: 1 + -2 = -1 7i = -1 Divide each side by '7'. i = -0.1428571429 Simplifying i = -0.1428571429
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