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Simplifying (8 + 8i) + -1(-6i + I) = 0 Remove parenthesis around (8 + 8i) 8 + 8i + -1(-6i + I) = 0 Reorder the terms: 8 + 8i + -1(I + -6i) = 0 8 + 8i + (I * -1 + -6i * -1) = 0 8 + 8i + (-1I + 6i) = 0 Reorder the terms: 8 + -1I + 8i + 6i = 0 Combine like terms: 8i + 6i = 14i 8 + -1I + 14i = 0 Solving 8 + -1I + 14i = 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 + 14i = 0 + -8 Reorder the terms: 8 + -8 + -1I + 14i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1I + 14i = 0 + -8 -1I + 14i = 0 + -8 Combine like terms: 0 + -8 = -8 -1I + 14i = -8 Add '-14i' to each side of the equation. -1I + 14i + -14i = -8 + -14i Combine like terms: 14i + -14i = 0 -1I + 0 = -8 + -14i -1I = -8 + -14i Divide each side by '-1'. I = 8 + 14i Simplifying I = 8 + 14i
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