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Simplifying 5 + -1(-6 + -1I) + (i) = 0 5 + (-6 * -1 + -1I * -1) + (i) = 0 5 + (6 + 1I) + (i) = 0 5 + 6 + 1I + i = 0 Combine like terms: 5 + 6 = 11 11 + 1I + i = 0 Solving 11 + 1I + i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 1I + -11 + i = 0 + -11 Reorder the terms: 11 + -11 + 1I + i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1I + i = 0 + -11 1I + i = 0 + -11 Combine like terms: 0 + -11 = -11 1I + i = -11 Add '-1i' to each side of the equation. 1I + i + -1i = -11 + -1i Combine like terms: i + -1i = 0 1I + 0 = -11 + -1i 1I = -11 + -1i Divide each side by '1'. I = -11 + -1i Simplifying I = -11 + -1i
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