What is the answer to (-4)/(8-5n)=13 ?

The answer to (-4)/(8-5n)=13 is n= 108/65

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(-4)/(8-5n)=13

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

n = \frac{108}{65}

Decimal Notation

n = 1.66153 \dots

Solution steps

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

Simplify

\frac{- 4}{8 - 5 n} : - \frac{4}{8 - 5 n}

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

Multiply both sides by

8 - 5 n

- 4 = 13 (8 - 5 n)

Switch sides

13 (8 - 5 n) = - 4

Divide both sides by

13

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

Move

8

to the right side

- 5 n = - \frac{108}{13}

Divide both sides by

- 5

n = \frac{108}{65}

Verify Solutions

Find undefined (singularity) points:

n = \frac{8}{5}

Combine undefined points with solutions:

n = \frac{108}{65}

\frac{- 3}{( k - 8 )} = \frac{5 k}{16}

x, \frac{4}{x} = 0.21

- \frac{1}{x - 4} = 8

\frac{4}{x} = \frac{16}{4}

\frac{100}{x} = \frac{30}{28.25}

What is the answer to (-4)/(8-5n)=13 ?
The answer to (-4)/(8-5n)=13 is n= 108/65
Solve for n: (-4)/(8-5n)=13
The solution is n= 108/65