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Simplifying (2 + -4) + (9 + 8i) = 0 Combine like terms: 2 + -4 = -2 (-2) + (9 + 8i) = 0 -2 + (9 + 8i) = 0 Remove parenthesis around (9 + 8i) -2 + 9 + 8i = 0 Combine like terms: -2 + 9 = 7 7 + 8i = 0 Solving 7 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8i = 0 + -7 8i = 0 + -7 Combine like terms: 0 + -7 = -7 8i = -7 Divide each side by '8'. i = -0.875 Simplifying i = -0.875
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