Simplify (n-1-(n-1-(n-1)))

$(n - 1 - (n - 1 - (n - 1)))$

Step 1

Remove parentheses.

$n - 1 - (n - 1 - (n - 1))$

Step 2

Simplify each term.

Simplify each term.

Apply the distributive property.

$n - 1 - (n - 1 - n - - 1)$

Multiply $- 1$ by $- 1$ .

$n - 1 - (n - 1 - n + 1)$

$n - 1 - (n - 1 - n + 1)$

Combine the opposite terms in $n - 1 - n + 1$ .

Subtract $n$ from $n$ .

$n - 1 - (0 - 1 + 1)$

Subtract $1$ from $0$ .

$n - 1 - (- 1 + 1)$

Add $- 1$ and $1$ .

$n - 1 - 0$

$n - 1 - 0$

Multiply $- 1$ by $0$ .

$n - 1 + 0$

$n - 1 + 0$

Step 3

Add $n - 1$ and $0$ .

$n - 1$

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