Solve for v -57=-6(4+5v)-3

$- 57 = - 6 (4 + 5 v) - 3$

Rewrite the equation as $- 6 (4 + 5 v) - 3 = - 57$ .

$- 6 (4 + 5 v) - 3 = - 57$

Simplify $- 6 (4 + 5 v) - 3$ .

Simplify each term.

Apply the distributive property.

$- 6 \cdot 4 - 6 (5 v) - 3 = - 57$

Multiply $- 6$ by $4$ .

$- 24 - 6 (5 v) - 3 = - 57$

Multiply $5$ by $- 6$ .

$- 24 - 30 v - 3 = - 57$

Subtract $3$ from $- 24$ .

$- 30 v - 27 = - 57$

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

Add $27$ to both sides of the equation.

$- 30 v = - 57 + 27$

Add $- 57$ and $27$ .

$- 30 v = - 30$

Divide each term in $- 30 v = - 30$ by $- 30$ and simplify.

Divide each term in $- 30 v = - 30$ by $- 30$ .

$\frac{- 30 v}{- 30} = \frac{- 30}{- 30}$

Simplify the left side.

Cancel the common factor of $- 30$ .

Cancel the common factor.

$\frac{- 30 v}{- 30} = \frac{- 30}{- 30}$

Divide $v$ by $1$ .

$v = \frac{- 30}{- 30}$

Simplify the right side.

Divide $- 30$ by $- 30$ .

$v = 1$