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Simplifying (4 + 8i) + (9 + -7i) = 0 Remove parenthesis around (4 + 8i) 4 + 8i + (9 + -7i) = 0 Remove parenthesis around (9 + -7i) 4 + 8i + 9 + -7i = 0 Reorder the terms: 4 + 9 + 8i + -7i = 0 Combine like terms: 4 + 9 = 13 13 + 8i + -7i = 0 Combine like terms: 8i + -7i = 1i 13 + 1i = 0 Solving 13 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1i = 0 + -13 1i = 0 + -13 Combine like terms: 0 + -13 = -13 1i = -13 Divide each side by '1'. i = -13 Simplifying i = -13
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