Solve for n -14=-11+n/5

$- 14 = - 11 + \frac{n}{5}$

Step 1

Rewrite the equation as $- 11 + \frac{n}{5} = - 14$ .

$- 11 + \frac{n}{5} = - 14$

Step 2

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

Add $11$ to both sides of the equation.

$\frac{n}{5} = - 14 + 11$

Add $- 14$ and $11$ .

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

Step 3

Multiply both sides of the equation by $5$ .

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

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$n = 5 \cdot - 3$

Simplify the right side.

Multiply $5$ by $- 3$ .

$n = - 15$