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Simplifying (-6 + -1i) + 5i + -1(11 + 13i) = 0 Remove parenthesis around (-6 + -1i) -6 + -1i + 5i + -1(11 + 13i) = 0 -6 + -1i + 5i + (11 * -1 + 13i * -1) = 0 -6 + -1i + 5i + (-11 + -13i) = 0 Reorder the terms: -6 + -11 + -1i + 5i + -13i = 0 Combine like terms: -6 + -11 = -17 -17 + -1i + 5i + -13i = 0 Combine like terms: -1i + 5i = 4i -17 + 4i + -13i = 0 Combine like terms: 4i + -13i = -9i -17 + -9i = 0 Solving -17 + -9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -9i = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -9i = 0 + 17 -9i = 0 + 17 Combine like terms: 0 + 17 = 17 -9i = 17 Divide each side by '-9'. i = -1.888888889 Simplifying i = -1.888888889
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