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Simplifying (-10 + -6i) + -1(8 + -10i) = 0 Remove parenthesis around (-10 + -6i) -10 + -6i + -1(8 + -10i) = 0 -10 + -6i + (8 * -1 + -10i * -1) = 0 -10 + -6i + (-8 + 10i) = 0 Reorder the terms: -10 + -8 + -6i + 10i = 0 Combine like terms: -10 + -8 = -18 -18 + -6i + 10i = 0 Combine like terms: -6i + 10i = 4i -18 + 4i = 0 Solving -18 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 4i = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 4i = 0 + 18 4i = 0 + 18 Combine like terms: 0 + 18 = 18 4i = 18 Divide each side by '4'. i = 4.5 Simplifying i = 4.5
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