Solve for p -5(8p+6)=5-5p

$- 5 (8 p + 6) = 5 - 5 p$

Simplify $- 5 (8 p + 6)$ .

Rewrite.

$0 + 0 - 5 (8 p + 6) = 5 - 5 p$

Simplify by adding zeros.

$- 5 (8 p + 6) = 5 - 5 p$

Apply the distributive property.

$- 5 (8 p) - 5 \cdot 6 = 5 - 5 p$

Multiply.

Multiply $8$ by $- 5$ .

$- 40 p - 5 \cdot 6 = 5 - 5 p$

Multiply $- 5$ by $6$ .

$- 40 p - 30 = 5 - 5 p$

Move all terms containing $p$ to the left side of the equation.

Add $5 p$ to both sides of the equation.

$- 40 p - 30 + 5 p = 5$

Add $- 40 p$ and $5 p$ .

$- 35 p - 30 = 5$

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

Add $30$ to both sides of the equation.

$- 35 p = 5 + 30$

Add $5$ and $30$ .

$- 35 p = 35$

Divide each term in $- 35 p = 35$ by $- 35$ and simplify.

Divide each term in $- 35 p = 35$ by $- 35$ .

$\frac{- 35 p}{- 35} = \frac{35}{- 35}$

Simplify the left side.

Cancel the common factor of $- 35$ .

Cancel the common factor.

$\frac{- 35 p}{- 35} = \frac{35}{- 35}$

Divide $p$ by $1$ .

$p = \frac{35}{- 35}$

Simplify the right side.

Divide $35$ by $- 35$ .

$p = - 1$