Solve for n -6/5n=8

$- \frac{6}{5} n = 8$

Multiply both sides of the equation by $- \frac{5}{6}$ .

$- \frac{5}{6} (- \frac{6}{5} n) = - \frac{5}{6} \cdot 8$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{5}{6} (- \frac{6}{5} n)$ .

Combine $n$ and $\frac{6}{5}$ .

$- \frac{5}{6} (- \frac{n \cdot 6}{5}) = - \frac{5}{6} \cdot 8$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{6}$ into the numerator.

$\frac{- 5}{6} (- \frac{n \cdot 6}{5}) = - \frac{5}{6} \cdot 8$

Move the leading negative in $- \frac{n \cdot 6}{5}$ into the numerator.

$\frac{- 5}{6} \cdot \frac{- n \cdot 6}{5} = - \frac{5}{6} \cdot 8$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{6} \cdot \frac{- n \cdot 6}{5} = - \frac{5}{6} \cdot 8$

Cancel the common factor.

$\frac{5 \cdot - 1}{6} \cdot \frac{- n \cdot 6}{5} = - \frac{5}{6} \cdot 8$

Rewrite the expression.

$\frac{- 1}{6} (- n \cdot 6) = - \frac{5}{6} \cdot 8$

Cancel the common factor of $6$ .

Factor $6$ out of $- n \cdot 6$ .

$\frac{- 1}{6} (6 \cdot (- n)) = - \frac{5}{6} \cdot 8$

Cancel the common factor.

$\frac{- 1}{6} (6 \cdot (- n)) = - \frac{5}{6} \cdot 8$

Rewrite the expression.

$- - n = - \frac{5}{6} \cdot 8$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 n = - \frac{5}{6} \cdot 8$

Multiply $n$ by $1$ .

$n = - \frac{5}{6} \cdot 8$

Simplify the right side.

Simplify $- \frac{5}{6} \cdot 8$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{5}{6}$ into the numerator.

$n = \frac{- 5}{6} \cdot 8$

Factor $2$ out of $6$ .

$n = \frac{- 5}{2 (3)} \cdot 8$

Factor $2$ out of $8$ .

$n = \frac{- 5}{2 \cdot 3} \cdot (2 \cdot 4)$

Cancel the common factor.

$n = \frac{- 5}{2 \cdot 3} \cdot (2 \cdot 4)$

Rewrite the expression.

$n = \frac{- 5}{3} \cdot 4$

Combine $\frac{- 5}{3}$ and $4$ .

$n = \frac{- 5 \cdot 4}{3}$

Simplify the expression.

Multiply $- 5$ by $4$ .

$n = \frac{- 20}{3}$

Move the negative in front of the fraction.

$n = - \frac{20}{3}$

The result can be shown in multiple forms.

Exact Form:

$n = - \frac{20}{3}$

Decimal Form:

$n = - 6.\overline{6}$

Mixed Number Form:

$n = - 6 \frac{2}{3}$

Solve for n -6/5n=8

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