Solve for n 6n-7(n+1)=6n

$6 n - 7 (n + 1) = 6 n$

Step 1

Simplify $6 n - 7 (n + 1)$ .

Simplify each term.

Apply the distributive property.

$6 n - 7 n - 7 \cdot 1 = 6 n$

Multiply $- 7$ by $1$ .

$6 n - 7 n - 7 = 6 n$

Subtract $7 n$ from $6 n$ .

$- n - 7 = 6 n$

Step 2

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

Subtract $6 n$ from both sides of the equation.

$- n - 7 - 6 n = 0$

Subtract $6 n$ from $- n$ .

$- 7 n - 7 = 0$

Step 3

Add $7$ to both sides of the equation.

$- 7 n = 7$

Step 4

Divide each term in $- 7 n = 7$ by $- 7$ and simplify.

Divide each term in $- 7 n = 7$ by $- 7$ .

$\frac{- 7 n}{- 7} = \frac{7}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 n}{- 7} = \frac{7}{- 7}$

Divide $n$ by $1$ .

$n = \frac{7}{- 7}$

Simplify the right side.

Divide $7$ by $- 7$ .

$n = - 1$