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Question

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

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Solution

-a − [a + {a + b − 2a − (a − 2b)} − b]
We will first remove the innermost grouping symbol ( ), followed by { } and then [ ].


∴ −a − [a + {a + b − 2a − (a − 2b)} − b]
= −a − [a + {a + b − 2a − a + 2b} − b]
= −a − [a + {3b − 2a } − b]
= −a − [a + 3b − 2a − b]
= −a − [2b − a ]
= −a − 2b + a
= −2b

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