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Simplifying (-3 + 7i) + (6 + 5i) = 0 Remove parenthesis around (-3 + 7i) -3 + 7i + (6 + 5i) = 0 Remove parenthesis around (6 + 5i) -3 + 7i + 6 + 5i = 0 Reorder the terms: -3 + 6 + 7i + 5i = 0 Combine like terms: -3 + 6 = 3 3 + 7i + 5i = 0 Combine like terms: 7i + 5i = 12i 3 + 12i = 0 Solving 3 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 12i = 0 + -3 12i = 0 + -3 Combine like terms: 0 + -3 = -3 12i = -3 Divide each side by '12'. i = -0.25 Simplifying i = -0.25
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