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Simplifying (-2 + -4i) + -1(5 + -8i) = 0 Remove parenthesis around (-2 + -4i) -2 + -4i + -1(5 + -8i) = 0 -2 + -4i + (5 * -1 + -8i * -1) = 0 -2 + -4i + (-5 + 8i) = 0 Reorder the terms: -2 + -5 + -4i + 8i = 0 Combine like terms: -2 + -5 = -7 -7 + -4i + 8i = 0 Combine like terms: -4i + 8i = 4i -7 + 4i = 0 Solving -7 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4i = 0 + 7 4i = 0 + 7 Combine like terms: 0 + 7 = 7 4i = 7 Divide each side by '4'. i = 1.75 Simplifying i = 1.75
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