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Simplifying (2 + -6i) + -1(-8 + I) = 0 Remove parenthesis around (2 + -6i) 2 + -6i + -1(-8 + I) = 0 2 + -6i + (-8 * -1 + I * -1) = 0 2 + -6i + (8 + -1I) = 0 Reorder the terms: 2 + 8 + -1I + -6i = 0 Combine like terms: 2 + 8 = 10 10 + -1I + -6i = 0 Solving 10 + -1I + -6i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1I + -10 + -6i = 0 + -10 Reorder the terms: 10 + -10 + -1I + -6i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1I + -6i = 0 + -10 -1I + -6i = 0 + -10 Combine like terms: 0 + -10 = -10 -1I + -6i = -10 Add '6i' to each side of the equation. -1I + -6i + 6i = -10 + 6i Combine like terms: -6i + 6i = 0 -1I + 0 = -10 + 6i -1I = -10 + 6i Divide each side by '-1'. I = 10 + -6i Simplifying I = 10 + -6i
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