Solve for n 2n+3n+7=-41

$2 n + 3 n + 7 = - 41$

Step 1

Add $2 n$ and $3 n$ .

$5 n + 7 = - 41$

Step 2

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

Subtract $7$ from both sides of the equation.

$5 n = - 41 - 7$

Subtract $7$ from $- 41$ .

$5 n = - 48$

Step 3

Divide each term in $5 n = - 48$ by $5$ and simplify.

Divide each term in $5 n = - 48$ by $5$ .

$\frac{5 n}{5} = \frac{- 48}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 n}{5} = \frac{- 48}{5}$

Divide $n$ by $1$ .

$n = \frac{- 48}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$n = - \frac{48}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$n = - \frac{48}{5}$

Decimal Form:

$n = - 9.6$

Mixed Number Form:

$n = - 9 \frac{3}{5}$