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Simplifying -6 + -5 + -1(1 + -6i) = 0 -6 + -5 + (1 * -1 + -6i * -1) = 0 -6 + -5 + (-1 + 6i) = 0 Combine like terms: -6 + -5 = -11 -11 + -1 + 6i = 0 Combine like terms: -11 + -1 = -12 -12 + 6i = 0 Solving -12 + 6i = 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 + 6i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6i = 0 + 12 6i = 0 + 12 Combine like terms: 0 + 12 = 12 6i = 12 Divide each side by '6'. i = 2 Simplifying i = 2
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