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Simplifying (-5 + 6i) + (1 + 6i) = 0 Remove parenthesis around (-5 + 6i) -5 + 6i + (1 + 6i) = 0 Remove parenthesis around (1 + 6i) -5 + 6i + 1 + 6i = 0 Reorder the terms: -5 + 1 + 6i + 6i = 0 Combine like terms: -5 + 1 = -4 -4 + 6i + 6i = 0 Combine like terms: 6i + 6i = 12i -4 + 12i = 0 Solving -4 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 12i = 0 + 4 12i = 0 + 4 Combine like terms: 0 + 4 = 4 12i = 4 Divide each side by '12'. i = 0.3333333333 Simplifying i = 0.3333333333
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