Solve for n 6=-4/5n - MathMaster

$6 = - \frac{4}{5} n$

Rewrite the equation as $- \frac{4}{5} n = 6$ .

$- \frac{4}{5} n = 6$

Multiply both sides of the equation by $- \frac{5}{4}$ .

$- \frac{5}{4} \cdot (- \frac{4}{5}) \cdot n = - \frac{5}{4} \cdot 6$

Simplify both sides of the equation.

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Simplify $- \frac{5}{4} \cdot (- \frac{4}{5}) \cdot n$ .

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Cancel the common factor of $5$ .

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Move the leading negative in $- \frac{5}{4}$ into the numerator.

$\frac{- 5}{4} \cdot (- \frac{4}{5}) \cdot n = - \frac{5}{4} \cdot 6$

Move the leading negative in $- \frac{4}{5}$ into the numerator.

$\frac{- 5}{4} \cdot \frac{- 4}{5} \cdot n = - \frac{5}{4} \cdot 6$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{4} \cdot \frac{- 4}{5} \cdot n = - \frac{5}{4} \cdot 6$

Cancel the common factor.

$\frac{5 \cdot - 1}{4} \cdot \frac{- 4}{5} \cdot n = - \frac{5}{4} \cdot 6$

Rewrite the expression.

$\frac{- 1}{4} \cdot - 4 \cdot n = - \frac{5}{4} \cdot 6$

Cancel the common factor of $4$ .

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Factor $4$ out of $- 4$ .

$\frac{- 1}{4} \cdot (4 (- 1)) \cdot n = - \frac{5}{4} \cdot 6$

Cancel the common factor.

$\frac{- 1}{4} \cdot (4 \cdot - 1) \cdot n = - \frac{5}{4} \cdot 6$

Rewrite the expression.

$- 1 \cdot - 1 \cdot n = - \frac{5}{4} \cdot 6$

Multiply.

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Multiply $- 1$ by $- 1$ .

$1 \cdot n = - \frac{5}{4} \cdot 6$

Multiply $n$ by $1$ .

$n = - \frac{5}{4} \cdot 6$

Simplify $- \frac{5}{4} \cdot 6$ .

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Cancel the common factor of $2$ .

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Move the leading negative in $- \frac{5}{4}$ into the numerator.

$n = \frac{- 5}{4} \cdot 6$

Factor $2$ out of $4$ .

$n = \frac{- 5}{2 (2)} \cdot 6$

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Combine $\frac{- 5}{2}$ and $3$ .

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

Simplify the expression.

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Multiply $- 5$ by $3$ .

$n = \frac{- 15}{2}$

Move the negative in front of the fraction.

$n = - \frac{15}{2}$

The result can be shown in multiple forms.

Exact Form:

$n = - \frac{15}{2}$

Decimal Form:

$n = - 7.5$

Mixed Number Form:

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

Solve for n 6=-4/5n

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