# Solve it Algebraically? I won't dare 2

Algebra Level 2

$\left| 1-\left| 1-\left| x-1 \right| \right| \right| =\alpha$

Find the value of $$\alpha$$ for which this equation has exactly 4 distinct solutions. If the value of $$\alpha$$ is $$A$$, then find $$2A$$.

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