Answer :

[tex]2d=\frac{a-b}{b-c}\\\\\frac{a-b}{b-c}=2d\ \ \ \ \ |multiply\ both\ sides\ by\ (b-c)\\\\a-b=2d(b-c)\ \ \ \ |add\ "b"\ to\ both\ sides\\\\\boxed{a=2bd-2cd+b}[/tex]

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