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Simplifying (-3 + 7i) + (8 + 7i) = 0 Remove parenthesis around (-3 + 7i) -3 + 7i + (8 + 7i) = 0 Remove parenthesis around (8 + 7i) -3 + 7i + 8 + 7i = 0 Reorder the terms: -3 + 8 + 7i + 7i = 0 Combine like terms: -3 + 8 = 5 5 + 7i + 7i = 0 Combine like terms: 7i + 7i = 14i 5 + 14i = 0 Solving 5 + 14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 14i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14i = 0 + -5 14i = 0 + -5 Combine like terms: 0 + -5 = -5 14i = -5 Divide each side by '14'. i = -0.3571428571 Simplifying i = -0.3571428571
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