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Simplifying (-3 + -5i) + -1(2 + 7i) = 0 Remove parenthesis around (-3 + -5i) -3 + -5i + -1(2 + 7i) = 0 -3 + -5i + (2 * -1 + 7i * -1) = 0 -3 + -5i + (-2 + -7i) = 0 Reorder the terms: -3 + -2 + -5i + -7i = 0 Combine like terms: -3 + -2 = -5 -5 + -5i + -7i = 0 Combine like terms: -5i + -7i = -12i -5 + -12i = 0 Solving -5 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -12i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12i = 0 + 5 -12i = 0 + 5 Combine like terms: 0 + 5 = 5 -12i = 5 Divide each side by '-12'. i = -0.4166666667 Simplifying i = -0.4166666667
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