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Simplifying -1i + -3 + -1(6 + -5i) + -1(2 + -6i) = 0 -1i + -3 + (6 * -1 + -5i * -1) + -1(2 + -6i) = 0 -1i + -3 + (-6 + 5i) + -1(2 + -6i) = 0 -1i + -3 + -6 + 5i + (2 * -1 + -6i * -1) = 0 -1i + -3 + -6 + 5i + (-2 + 6i) = 0 Reorder the terms: -3 + -6 + -2 + -1i + 5i + 6i = 0 Combine like terms: -3 + -6 = -9 -9 + -2 + -1i + 5i + 6i = 0 Combine like terms: -9 + -2 = -11 -11 + -1i + 5i + 6i = 0 Combine like terms: -1i + 5i = 4i -11 + 4i + 6i = 0 Combine like terms: 4i + 6i = 10i -11 + 10i = 0 Solving -11 + 10i = 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 + 10i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 10i = 0 + 11 10i = 0 + 11 Combine like terms: 0 + 11 = 11 10i = 11 Divide each side by '10'. i = 1.1 Simplifying i = 1.1
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