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Simplifying (3 + 8i) = (2 + 9i) Remove parenthesis around (3 + 8i) 3 + 8i = (2 + 9i) Remove parenthesis around (2 + 9i) 3 + 8i = 2 + 9i Solving 3 + 8i = 2 + 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. 3 + 8i + -9i = 2 + 9i + -9i Combine like terms: 8i + -9i = -1i 3 + -1i = 2 + 9i + -9i Combine like terms: 9i + -9i = 0 3 + -1i = 2 + 0 3 + -1i = 2 Add '-3' to each side of the equation. 3 + -3 + -1i = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -1i = 2 + -3 -1i = 2 + -3 Combine like terms: 2 + -3 = -1 -1i = -1 Divide each side by '-1'. i = 1 Simplifying i = 1
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