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Simplifying (-4 + -6i) + (i) + -1(2i) = 0 Remove parenthesis around (-4 + -6i) -4 + -6i + (i) + -1(2i) = 0 -4 + -6i + i + -1(2i) = 0 Remove parenthesis around (2i) -4 + -6i + i + -1 * 2i = 0 Multiply -1 * 2 -4 + -6i + i + -2i = 0 Combine like terms: -6i + i = -5i -4 + -5i + -2i = 0 Combine like terms: -5i + -2i = -7i -4 + -7i = 0 Solving -4 + -7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7i = 0 + 4 -7i = 0 + 4 Combine like terms: 0 + 4 = 4 -7i = 4 Divide each side by '-7'. i = -0.5714285714 Simplifying i = -0.5714285714
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