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Simplifying (-8i + 2) + -1(I + -6) = 0 Reorder the terms: (2 + -8i) + -1(I + -6) = 0 Remove parenthesis around (2 + -8i) 2 + -8i + -1(I + -6) = 0 Reorder the terms: 2 + -8i + -1(-6 + I) = 0 2 + -8i + (-6 * -1 + I * -1) = 0 2 + -8i + (6 + -1I) = 0 Reorder the terms: 2 + 6 + -1I + -8i = 0 Combine like terms: 2 + 6 = 8 8 + -1I + -8i = 0 Solving 8 + -1I + -8i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1I + -8 + -8i = 0 + -8 Reorder the terms: 8 + -8 + -1I + -8i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1I + -8i = 0 + -8 -1I + -8i = 0 + -8 Combine like terms: 0 + -8 = -8 -1I + -8i = -8 Add '8i' to each side of the equation. -1I + -8i + 8i = -8 + 8i Combine like terms: -8i + 8i = 0 -1I + 0 = -8 + 8i -1I = -8 + 8i Divide each side by '-1'. I = 8 + -8i Simplifying I = 8 + -8i
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