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Simplifying (-2 + -6i) + -1(6 + 6i) = 0 Remove parenthesis around (-2 + -6i) -2 + -6i + -1(6 + 6i) = 0 -2 + -6i + (6 * -1 + 6i * -1) = 0 -2 + -6i + (-6 + -6i) = 0 Reorder the terms: -2 + -6 + -6i + -6i = 0 Combine like terms: -2 + -6 = -8 -8 + -6i + -6i = 0 Combine like terms: -6i + -6i = -12i -8 + -12i = 0 Solving -8 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -12i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -12i = 0 + 8 -12i = 0 + 8 Combine like terms: 0 + 8 = 8 -12i = 8 Divide each side by '-12'. i = -0.6666666667 Simplifying i = -0.6666666667
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