Simplify (2n+5)-(3n+7)+(4n-9)

$(2 n + 5) - (3 n + 7) + (4 n - 9)$

Step 1

Remove parentheses.

$(2 n + 5) - (3 n + 7) + 4 n - 9$

Step 2

Simplify each term.

Apply the distributive property.

$2 n + 5 - (3 n) - 1 \cdot 7 + 4 n - 9$

Multiply $3$ by $- 1$ .

$2 n + 5 - 3 n - 1 \cdot 7 + 4 n - 9$

Multiply $- 1$ by $7$ .

$2 n + 5 - 3 n - 7 + 4 n - 9$

$2 n + 5 - 3 n - 7 + 4 n - 9$

Step 3

Simplify by adding terms.

Subtract $3 n$ from $2 n$ .

$- n + 5 - 7 + 4 n - 9$

Add $- n$ and $4 n$ .

$3 n + 5 - 7 - 9$

Simplify by subtracting numbers.

Subtract $7$ from $5$ .

$3 n - 2 - 9$

Subtract $9$ from $- 2$ .

$3 n - 11$

$3 n - 11$

$3 n - 11$

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