Simplify 4m+((6m-3n)-(9n-5m)+(8m-2n))

$4 m + ((6 m - 3 n) - (9 n - 5 m) + (8 m - 2 n))$

Step 1

Remove parentheses.

$4 m + (6 m - 3 n) - (9 n - 5 m) + 8 m - 2 n$

Step 2

Simplify each term.

Apply the distributive property.

$4 m + 6 m - 3 n - (9 n) - (- 5 m) + 8 m - 2 n$

Multiply $9$ by $- 1$ .

$4 m + 6 m - 3 n - 9 n - (- 5 m) + 8 m - 2 n$

Multiply $- 5$ by $- 1$ .

$4 m + 6 m - 3 n - 9 n + 5 m + 8 m - 2 n$

$4 m + 6 m - 3 n - 9 n + 5 m + 8 m - 2 n$

Step 3

Simplify by adding terms.

Add $4 m$ and $6 m$ .

$10 m - 3 n - 9 n + 5 m + 8 m - 2 n$

Add $10 m$ and $5 m$ .

$15 m - 3 n - 9 n + 8 m - 2 n$

Add $15 m$ and $8 m$ .

$23 m - 3 n - 9 n - 2 n$

Subtract $9 n$ from $- 3 n$ .

$23 m - 12 n - 2 n$

Subtract $2 n$ from $- 12 n$ .

$23 m - 14 n$

$23 m - 14 n$

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