What is the answer to ((4n-2))/(2n)=7 ?

The answer to ((4n-2))/(2n)=7 is n=-1/5

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((4n-2))/(2n)=7

\frac{( 4 n - 2 )}{2 n} = 7

n = - \frac{1}{5}

Decimal Notation

n = - 0.2

Solution steps

\frac{( 4 n - 2 )}{2 n} = 7

Simplify

\frac{4 n - 2}{2 n} : \frac{2 n - 1}{n}

\frac{2 n - 1}{n} = 7

Multiply both sides by

n

2 n - 1 = 7 n

Move

1

to the right side

2 n = 7 n + 1

Move

7 n

to the left side

- 5 n = 1

Divide both sides by

- 5

n = - \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = - \frac{1}{5}

1 - \frac{16}{x ^{2}} = 0

x, y = \frac{x + 2}{x - 1}

\frac{x - 7}{x + 9} = \frac{1}{x - 2}

\frac{5}{2 y} = \frac{10}{5 y - 8}

\frac{x - 2}{x - 6} = - \frac{4}{x}