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Simplfy: \(b - [b -(a+b) - {b - (b - a+b)} + 2a]\)

  • A.a
  • B.2a
  • C.4a
  • D.0

Answer: D

\(b-[b-(a+b)-{b-(b-a+b)}+2a]\)
\(=b-[b-a-b-{b-(2b-a)}+2a]\)
\(=b-[-a-{b-2b+a}+2a]\)
\(=b-[-a-{-b+a}+2a]\)
\(=b-[-a+b-a+2a]\)
\(=b-[-2a+b+2a]\)
\(=b-b\)
\(=0\)

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