Solve for n 6n-4+5n+7=180

$6 n - 4 + 5 n + 7 = 180$

Step 1

Simplify $6 n - 4 + 5 n + 7$ .

Add $6 n$ and $5 n$ .

$11 n - 4 + 7 = 180$

Add $- 4$ and $7$ .

$11 n + 3 = 180$

Step 2

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

Subtract $3$ from both sides of the equation.

$11 n = 180 - 3$

Subtract $3$ from $180$ .

$11 n = 177$

Step 3

Divide each term in $11 n = 177$ by $11$ and simplify.

Divide each term in $11 n = 177$ by $11$ .

$\frac{11 n}{11} = \frac{177}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 n}{11} = \frac{177}{11}$

Divide $n$ by $1$ .

$n = \frac{177}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$n = \frac{177}{11}$

Decimal Form:

$n = 16.\overline{09}$

Mixed Number Form:

$n = 16 \frac{1}{11}$