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If algebraic expression 2w - [x -(y + z)] + 2w is solved then answer will be

  • A.2w + 3x - y + 4z
  • B.5w - y + z
  • C.4w - x + y + z
  • D.2x + y +z

Answer: C

Work outward from the innermost bracket.

\[ -(y + z) \text{ inside gives } x - y - z \]

\[ -[x - y - z] = -x + y + z \]

\[ 2w + (-x + y + z) + 2w = 4w - x + y + z \]

Two nested minus signs restore \( y \) and \( z \) to positive - the step the distractors are built around.

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