Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Simplify each term.

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Step 1.1.1.1

Apply the distributive property.

$n - (1 - (n - 1 \cdot 1 - - n - 1))$

Step 1.1.1.2

Multiply $- 1$ by $1$ .

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

Step 1.1.1.3

Multiply $- - n$ .

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Step 1.1.1.3.1

Multiply $- 1$ by $- 1$ .

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

Step 1.1.1.3.2

Multiply $n$ by $1$ .

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

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

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

Step 1.1.2

Add $n$ and $n$ .

$n - (1 - (2 n - 1 - 1))$

Step 1.1.3

Subtract $1$ from $- 1$ .

$n - (1 - (2 n - 2))$

Step 1.1.4

Apply the distributive property.

$n - (1 - (2 n) - - 2)$

Step 1.1.5

Multiply $2$ by $- 1$ .

$n - (1 - 2 n - - 2)$

Step 1.1.6

Multiply $- 1$ by $- 2$ .

$n - (1 - 2 n + 2)$

$n - (1 - 2 n + 2)$

Step 1.2

Add $1$ and $2$ .

$n - (- 2 n + 3)$

Step 1.3

Apply the distributive property.

$n - (- 2 n) - 1 \cdot 3$

Step 1.4

Multiply $- 2$ by $- 1$ .

$n + 2 n - 1 \cdot 3$

Step 1.5

Multiply $- 1$ by $3$ .

$n + 2 n - 3$

$n + 2 n - 3$

Step 2

Add $n$ and $2 n$ .

$3 n - 3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$