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Simplifying (2 + 4i) = (-7 + -8i) Remove parenthesis around (2 + 4i) 2 + 4i = (-7 + -8i) Remove parenthesis around (-7 + -8i) 2 + 4i = -7 + -8i Solving 2 + 4i = -7 + -8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8i' to each side of the equation. 2 + 4i + 8i = -7 + -8i + 8i Combine like terms: 4i + 8i = 12i 2 + 12i = -7 + -8i + 8i Combine like terms: -8i + 8i = 0 2 + 12i = -7 + 0 2 + 12i = -7 Add '-2' to each side of the equation. 2 + -2 + 12i = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 12i = -7 + -2 12i = -7 + -2 Combine like terms: -7 + -2 = -9 12i = -9 Divide each side by '12'. i = -0.75 Simplifying i = -0.75
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