Solve for p -4(-1+5p)=-12

$- 4 (- 1 + 5 p) = - 12$

Step 1

Divide each term in $- 4 (- 1 + 5 p) = - 12$ by $- 4$ and simplify.

Divide each term in $- 4 (- 1 + 5 p) = - 12$ by $- 4$ .

$\frac{- 4 (- 1 + 5 p)}{- 4} = \frac{- 12}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 (- 1 + 5 p)}{- 4} = \frac{- 12}{- 4}$

Divide $- 1 + 5 p$ by $1$ .

$- 1 + 5 p = \frac{- 12}{- 4}$

Simplify the right side.

Divide $- 12$ by $- 4$ .

$- 1 + 5 p = 3$

Step 2

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

Add $1$ to both sides of the equation.

$5 p = 3 + 1$

Add $3$ and $1$ .

$5 p = 4$

Step 3

Divide each term in $5 p = 4$ by $5$ and simplify.

Divide each term in $5 p = 4$ by $5$ .

$\frac{5 p}{5} = \frac{4}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 p}{5} = \frac{4}{5}$

Divide $p$ by $1$ .

$p = \frac{4}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{4}{5}$

Decimal Form:

$p = 0.8$