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Simplifying (4 + 6i) + -1(10 + -5) = 0 Remove parenthesis around (4 + 6i) 4 + 6i + -1(10 + -5) = 0 Combine like terms: 10 + -5 = 5 4 + 6i + -1(5) = 0 Multiply -1 * 5 4 + 6i + -5 = 0 Reorder the terms: 4 + -5 + 6i = 0 Combine like terms: 4 + -5 = -1 -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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