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Simplifying (-6 + -6i) + -1(5 + i) = 0 Remove parenthesis around (-6 + -6i) -6 + -6i + -1(5 + i) = 0 -6 + -6i + (5 * -1 + i * -1) = 0 -6 + -6i + (-5 + -1i) = 0 Reorder the terms: -6 + -5 + -6i + -1i = 0 Combine like terms: -6 + -5 = -11 -11 + -6i + -1i = 0 Combine like terms: -6i + -1i = -7i -11 + -7i = 0 Solving -11 + -7i = 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 + -7i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -7i = 0 + 11 -7i = 0 + 11 Combine like terms: 0 + 11 = 11 -7i = 11 Divide each side by '-7'. i = -1.571428571 Simplifying i = -1.571428571
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