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Simplifying (12 + 7i) + (3i) + (6i) = 0 Remove parenthesis around (12 + 7i) 12 + 7i + (3i) + (6i) = 0 Combine like terms: 7i + (3i) = 10i 12 + 10i + (6i) = 0 Combine like terms: 10i + (6i) = 16i 12 + 16i = 0 Solving 12 + 16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 16i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 16i = 0 + -12 16i = 0 + -12 Combine like terms: 0 + -12 = -12 16i = -12 Divide each side by '16'. i = -0.75 Simplifying i = -0.75
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