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Simplifying (-5 + 7i) = (-7 + -7i) Remove parenthesis around (-5 + 7i) -5 + 7i = (-7 + -7i) Remove parenthesis around (-7 + -7i) -5 + 7i = -7 + -7i Solving -5 + 7i = -7 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. -5 + 7i + 7i = -7 + -7i + 7i Combine like terms: 7i + 7i = 14i -5 + 14i = -7 + -7i + 7i Combine like terms: -7i + 7i = 0 -5 + 14i = -7 + 0 -5 + 14i = -7 Add '5' to each side of the equation. -5 + 5 + 14i = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 14i = -7 + 5 14i = -7 + 5 Combine like terms: -7 + 5 = -2 14i = -2 Divide each side by '14'. i = -0.1428571429 Simplifying i = -0.1428571429
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