Solve for n 39-7n=5n-5(6+7n)

$39 - 7 n = 5 n - 5 (6 + 7 n)$

Since $n$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$5 n - 5 (6 + 7 n) = 39 - 7 n$

Simplify $5 n - 5 (6 + 7 n)$ .

Simplify each term.

Apply the distributive property.

$5 n - 5 \cdot 6 - 5 (7 n) = 39 - 7 n$

Multiply $- 5$ by $6$ .

$5 n - 30 - 5 (7 n) = 39 - 7 n$

Multiply $7$ by $- 5$ .

$5 n - 30 - 35 n = 39 - 7 n$

Subtract $35 n$ from $5 n$ .

$- 30 n - 30 = 39 - 7 n$

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

Add $7 n$ to both sides of the equation.

$- 30 n - 30 + 7 n = 39$

Add $- 30 n$ and $7 n$ .

$- 23 n - 30 = 39$

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

Add $30$ to both sides of the equation.

$- 23 n = 39 + 30$

Add $39$ and $30$ .

$- 23 n = 69$

Divide each term in $- 23 n = 69$ by $- 23$ and simplify.

Divide each term in $- 23 n = 69$ by $- 23$ .

$\frac{- 23 n}{- 23} = \frac{69}{- 23}$

Simplify the left side.

Cancel the common factor of $- 23$ .

Cancel the common factor.

$\frac{- 23 n}{- 23} = \frac{69}{- 23}$

Divide $n$ by $1$ .

$n = \frac{69}{- 23}$

Simplify the right side.

Divide $69$ by $- 23$ .

$n = - 3$