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Simplifying (-5 + 10i) + -1(6 + -4i) = 0 Remove parenthesis around (-5 + 10i) -5 + 10i + -1(6 + -4i) = 0 -5 + 10i + (6 * -1 + -4i * -1) = 0 -5 + 10i + (-6 + 4i) = 0 Reorder the terms: -5 + -6 + 10i + 4i = 0 Combine like terms: -5 + -6 = -11 -11 + 10i + 4i = 0 Combine like terms: 10i + 4i = 14i -11 + 14i = 0 Solving -11 + 14i = 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 + 14i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14i = 0 + 11 14i = 0 + 11 Combine like terms: 0 + 11 = 11 14i = 11 Divide each side by '14'. i = 0.7857142857 Simplifying i = 0.7857142857
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