Basic Math Examples

$2 m - | - 2 m + 3 n + 3 (- (2 m - 3 n) - 2 (3 n - 2 m) - m) - n |$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$2 m - | - 2 m + 3 n + 3 (- (2 m) - (- 3 n) - 2 (3 n - 2 m) - m) - n |$

Step 1.1.2

Multiply $2$ by $- 1$ .

$2 m - | - 2 m + 3 n + 3 (- 2 m - (- 3 n) - 2 (3 n - 2 m) - m) - n |$

Step 1.1.3

Multiply $- 3$ by $- 1$ .

$2 m - | - 2 m + 3 n + 3 (- 2 m + 3 n - 2 (3 n - 2 m) - m) - n |$

Step 1.1.4

Apply the distributive property.

$2 m - | - 2 m + 3 n + 3 (- 2 m + 3 n - 2 (3 n) - 2 (- 2 m) - m) - n |$

Step 1.1.5

Multiply $3$ by $- 2$ .

$2 m - | - 2 m + 3 n + 3 (- 2 m + 3 n - 6 n - 2 (- 2 m) - m) - n |$

Step 1.1.6

Multiply $- 2$ by $- 2$ .

$2 m - | - 2 m + 3 n + 3 (- 2 m + 3 n - 6 n + 4 m - m) - n |$

Step 1.2

Add $- 2 m$ and $4 m$ .

$2 m - | - 2 m + 3 n + 3 (2 m + 3 n - 6 n - m) - n |$

Step 1.3

Subtract $m$ from $2 m$ .

$2 m - | - 2 m + 3 n + 3 (m + 3 n - 6 n) - n |$

Step 1.4

Subtract $6 n$ from $3 n$ .

$2 m - | - 2 m + 3 n + 3 (m - 3 n) - n |$

Step 1.5

Apply the distributive property.

$2 m - | - 2 m + 3 n + 3 m + 3 (- 3 n) - n |$

Step 1.6

Multiply $- 3$ by $3$ .

$2 m - | - 2 m + 3 n + 3 m - 9 n - n |$

Step 2

Add $- 2 m$ and $3 m$ .

$2 m - | m + 3 n - 9 n - n |$

Step 3

Subtract $9 n$ from $3 n$ .

$2 m - | m - 6 n - n |$

Step 4

Subtract $n$ from $- 6 n$ .

$2 m - | m - 7 n |$