What is the answer to 8=(-18+(3))/((8)(16-40n)) ?

The answer to 8=(-18+(3))/((8)(16-40n)) is n= 1039/2560

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8=(-18+(3))/((8)(16-40n))

8 = \frac{- 18 + ( 3 )}{( 8 ) ( 16 - 40 n )}

n = \frac{1039}{2560}

Decimal Notation

n = 0.405859375

Solution steps

8 = \frac{- 18 + ( 3 )}{( 8 ) ( 16 - 40 n )}

Simplify

\frac{- 18 + ( 3 )}{( 8 ) ( 16 - 40 n )} : - \frac{15}{8 ( 16 - 40 n )}

8 = - \frac{15}{8 ( 16 - 40 n )}

Multiply both sides by

8 (16 - 40 n)

64 (16 - 40 n) = - 15

Divide both sides by

64

16 - 40 n = - \frac{15}{64}

Move

16

to the right side

- 40 n = - \frac{1039}{64}

Divide both sides by

- 40

n = \frac{1039}{2560}

Verify Solutions

Find undefined (singularity) points:

n = \frac{2}{5}

Combine undefined points with solutions:

n = \frac{1039}{2560}

x - x^{- 1} = 2

x^{- 2} = 0.01

4 = \frac{1}{3 r - 6}

\frac{x ^{2} - 2 x}{x - 3} = 8

\frac{d}{1 - d} = \frac{12}{48}

What is the answer to 8=(-18+(3))/((8)(16-40n)) ?
The answer to 8=(-18+(3))/((8)(16-40n)) is n= 1039/2560
Solve for n: 8=(-18+(3))/((8)(16-40n))
The solution is n= 1039/2560