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Simplifying (-13 + 4i) + -1(9 + -11i) = 0 Remove parenthesis around (-13 + 4i) -13 + 4i + -1(9 + -11i) = 0 -13 + 4i + (9 * -1 + -11i * -1) = 0 -13 + 4i + (-9 + 11i) = 0 Reorder the terms: -13 + -9 + 4i + 11i = 0 Combine like terms: -13 + -9 = -22 -22 + 4i + 11i = 0 Combine like terms: 4i + 11i = 15i -22 + 15i = 0 Solving -22 + 15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 15i = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 15i = 0 + 22 15i = 0 + 22 Combine like terms: 0 + 22 = 22 15i = 22 Divide each side by '15'. i = 1.466666667 Simplifying i = 1.466666667
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