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Simplifying 5i + -1(11 + -6i) = 0 5i + (11 * -1 + -6i * -1) = 0 5i + (-11 + 6i) = 0 Reorder the terms: -11 + 5i + 6i = 0 Combine like terms: 5i + 6i = 11i -11 + 11i = 0 Solving -11 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 11i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11i = 0 + 11 11i = 0 + 11 Combine like terms: 0 + 11 = 11 11i = 11 Divide each side by '11'. i = 1 Simplifying i = 1
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