Solve for v (v+5)(-1/9)=6

$(v + 5) (- \frac{1}{9}) = 6$

Multiply each term in $(v + 5) (- \frac{1}{9}) = 6$ by $- 9$ to eliminate the fractions.

Multiply each term in $(v + 5) (- \frac{1}{9}) = 6$ by $- 9$ .

$(v + 5) (- \frac{1}{9}) \cdot - 9 = 6 \cdot - 9$

Simplify the left side.

Apply the distributive property.

$(v (- \frac{1}{9}) + 5 (- \frac{1}{9})) \cdot - 9 = 6 \cdot - 9$

Combine $v$ and $\frac{1}{9}$ .

$(- \frac{v}{9} + 5 (- \frac{1}{9})) \cdot - 9 = 6 \cdot - 9$

Multiply $5 (- \frac{1}{9})$ .

Multiply $- 1$ by $5$ .

$(- \frac{v}{9} - 5 (\frac{1}{9})) \cdot - 9 = 6 \cdot - 9$

Combine $- 5$ and $\frac{1}{9}$ .

$(- \frac{v}{9} + \frac{- 5}{9}) \cdot - 9 = 6 \cdot - 9$

Move the negative in front of the fraction.

$(- \frac{v}{9} - \frac{5}{9}) \cdot - 9 = 6 \cdot - 9$

Apply the distributive property.

$- \frac{v}{9} \cdot - 9 - \frac{5}{9} \cdot - 9 = 6 \cdot - 9$

Cancel the common factor of $9$ .

Move the leading negative in $- \frac{v}{9}$ into the numerator.

$\frac{- v}{9} \cdot - 9 - \frac{5}{9} \cdot - 9 = 6 \cdot - 9$

Factor $9$ out of $- 9$ .

$\frac{- v}{9} \cdot (9 (- 1)) - \frac{5}{9} \cdot - 9 = 6 \cdot - 9$

Cancel the common factor.

$\frac{- v}{9} \cdot (9 \cdot - 1) - \frac{5}{9} \cdot - 9 = 6 \cdot - 9$

Rewrite the expression.

$- v \cdot - 1 - \frac{5}{9} \cdot - 9 = 6 \cdot - 9$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 v - \frac{5}{9} \cdot - 9 = 6 \cdot - 9$

Multiply $v$ by $1$ .

$v - \frac{5}{9} \cdot - 9 = 6 \cdot - 9$

Cancel the common factor of $9$ .

Move the leading negative in $- \frac{5}{9}$ into the numerator.

$v + \frac{- 5}{9} \cdot - 9 = 6 \cdot - 9$

Factor $9$ out of $- 9$ .

$v + \frac{- 5}{9} \cdot (9 (- 1)) = 6 \cdot - 9$

Cancel the common factor.

$v + \frac{- 5}{9} \cdot (9 \cdot - 1) = 6 \cdot - 9$

Rewrite the expression.

$v - 5 \cdot - 1 = 6 \cdot - 9$

Multiply $- 5$ by $- 1$ .

$v + 5 = 6 \cdot - 9$

Simplify the right side.

Multiply $6$ by $- 9$ .

$v + 5 = - 54$

Move all terms not containing $v$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$v = - 54 - 5$

Subtract $5$ from $- 54$ .

$v = - 59$

Solve for v (v+5)(-1/9)=6

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