Solve for n -5n-4(-7-4n)=36+7n

$- 5 n - 4 (- 7 - 4 n) = 36 + 7 n$

Step 1

Simplify $- 5 n - 4 (- 7 - 4 n)$ .

Simplify each term.

Apply the distributive property.

$- 5 n - 4 \cdot - 7 - 4 (- 4 n) = 36 + 7 n$

Multiply $- 4$ by $- 7$ .

$- 5 n + 28 - 4 (- 4 n) = 36 + 7 n$

Multiply $- 4$ by $- 4$ .

$- 5 n + 28 + 16 n = 36 + 7 n$

Add $- 5 n$ and $16 n$ .

$11 n + 28 = 36 + 7 n$

Step 2

Move all terms containing $n$ to the left side of the equation.

Subtract $7 n$ from both sides of the equation.

$11 n + 28 - 7 n = 36$

Subtract $7 n$ from $11 n$ .

$4 n + 28 = 36$

Step 3

Move all terms not containing $n$ to the right side of the equation.

Subtract $28$ from both sides of the equation.

$4 n = 36 - 28$

Subtract $28$ from $36$ .

$4 n = 8$

Step 4

Divide each term in $4 n = 8$ by $4$ and simplify.

Divide each term in $4 n = 8$ by $4$ .

$\frac{4 n}{4} = \frac{8}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 n}{4} = \frac{8}{4}$

Divide $n$ by $1$ .

$n = \frac{8}{4}$

Simplify the right side.

Divide $8$ by $4$ .

$n = 2$