Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 4$ .

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Step 1.2.1.1

Cancel the common factor.

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

Step 1.2.1.2

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

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

Step 1.3

Simplify the right side.

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Step 1.3.1

Move the negative in front of the fraction.

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

Step 2

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

No solution