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Simplifying (-5 + 8i) + -1(8 + -4i) = 0 Remove parenthesis around (-5 + 8i) -5 + 8i + -1(8 + -4i) = 0 -5 + 8i + (8 * -1 + -4i * -1) = 0 -5 + 8i + (-8 + 4i) = 0 Reorder the terms: -5 + -8 + 8i + 4i = 0 Combine like terms: -5 + -8 = -13 -13 + 8i + 4i = 0 Combine like terms: 8i + 4i = 12i -13 + 12i = 0 Solving -13 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 12i = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 12i = 0 + 13 12i = 0 + 13 Combine like terms: 0 + 13 = 13 12i = 13 Divide each side by '12'. i = 1.083333333 Simplifying i = 1.083333333
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