Solve for n 5n+6=-4

$5 n + 6 = - 4$

Step 1

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

Subtract $6$ from both sides of the equation.

$5 n = - 4 - 6$

Subtract $6$ from $- 4$ .

$5 n = - 10$

Step 2

Divide each term in $5 n = - 10$ by $5$ and simplify.

Divide each term in $5 n = - 10$ by $5$ .

$\frac{5 n}{5} = \frac{- 10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 n}{5} = \frac{- 10}{5}$

Divide $n$ by $1$ .

$n = \frac{- 10}{5}$

Simplify the right side.

Divide $- 10$ by $5$ .

$n = - 2$