Solve the Absolute Value Inequality for n -4|8-5n|=13

$- 4 | 8 - 5 n | = 13$

Divide each term in $- 4 | 8 - 5 n | = 13$ by $- 4$ and simplify.

Divide each term in $- 4 | 8 - 5 n | = 13$ by $- 4$ .

$\frac{- 4 | 8 - 5 n |}{- 4} = \frac{13}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 | 8 - 5 n |}{- 4} = \frac{13}{- 4}$

Divide $| 8 - 5 n |$ by $1$ .

$| 8 - 5 n | = \frac{13}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$| 8 - 5 n | = - \frac{13}{4}$

There is no value of $n$ that makes the equation be true since an absolute value can never be negative.

No solution