Simplify: -a - [a + a + b - 2a - (a - 2b) - b] - Vidyadip

Question

Simplify: $-a - [a + {a + b - 2a - (a - 2b)} - b]$

✓

Answer

Removing the innermost grouping symbol $()$ first, then $\{ \}$ and ten $[ ]$, we have:
$-a - [a + {a + b - 2a - (a - 2b)} - b] $
$= -a - [a + {a + b - 2a - a + 2b} - b] $
$= -a - [a + {- 2a + 3b} - b] $
$= - a - [a - 2a + 3b - b] $
$= -a - a + 2a - 3b + b $
$= -2a + 2a - 2b $
$= -2b$

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