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Simplifying (-11 + 4i) + -1(1 + -5i) = 0 Remove parenthesis around (-11 + 4i) -11 + 4i + -1(1 + -5i) = 0 -11 + 4i + (1 * -1 + -5i * -1) = 0 -11 + 4i + (-1 + 5i) = 0 Reorder the terms: -11 + -1 + 4i + 5i = 0 Combine like terms: -11 + -1 = -12 -12 + 4i + 5i = 0 Combine like terms: 4i + 5i = 9i -12 + 9i = 0 Solving -12 + 9i = 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 + 9i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 9i = 0 + 12 9i = 0 + 12 Combine like terms: 0 + 12 = 12 9i = 12 Divide each side by '9'. i = 1.333333333 Simplifying i = 1.333333333
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