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Simplifying 4i + (-1 + -10i) = 0 Remove parenthesis around (-1 + -10i) 4i + -1 + -10i = 0 Reorder the terms: -1 + 4i + -10i = 0 Combine like terms: 4i + -10i = -6i -1 + -6i = 0 Solving -1 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -6i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6i = 0 + 1 -6i = 0 + 1 Combine like terms: 0 + 1 = 1 -6i = 1 Divide each side by '-6'. i = -0.1666666667 Simplifying i = -0.1666666667
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