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