Simplify (4m-5)-(6m-7+2n)

$(4 m - 5) - (6 m - 7 + 2 n)$

Step 1

Simplify each term.

Apply the distributive property.

$4 m - 5 - (6 m) - - 7 - (2 n)$

Simplify.

Multiply $6$ by $- 1$ .

$4 m - 5 - 6 m - - 7 - (2 n)$

Multiply $- 1$ by $- 7$ .

$4 m - 5 - 6 m + 7 - (2 n)$

Multiply $2$ by $- 1$ .

$4 m - 5 - 6 m + 7 - 2 n$

$4 m - 5 - 6 m + 7 - 2 n$

$4 m - 5 - 6 m + 7 - 2 n$

Step 2

Simplify by adding terms.

Subtract $6 m$ from $4 m$ .

$- 2 m - 5 + 7 - 2 n$

Simplify the expression.

Add $- 5$ and $7$ .

$- 2 m + 2 - 2 n$

Move $2$ .

$- 2 m - 2 n + 2$

$- 2 m - 2 n + 2$

$- 2 m - 2 n + 2$

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