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Simplifying (2 + 8i) = (8 + -7i) Remove parenthesis around (2 + 8i) 2 + 8i = (8 + -7i) Remove parenthesis around (8 + -7i) 2 + 8i = 8 + -7i Solving 2 + 8i = 8 + -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. 2 + 8i + 7i = 8 + -7i + 7i Combine like terms: 8i + 7i = 15i 2 + 15i = 8 + -7i + 7i Combine like terms: -7i + 7i = 0 2 + 15i = 8 + 0 2 + 15i = 8 Add '-2' to each side of the equation. 2 + -2 + 15i = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 15i = 8 + -2 15i = 8 + -2 Combine like terms: 8 + -2 = 6 15i = 6 Divide each side by '15'. i = 0.4 Simplifying i = 0.4
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