Solve for p 7p+34=-2(1-5p)

$7 p + 34 = - 2 (1 - 5 p)$

Simplify $- 2 (1 - 5 p)$ .

Rewrite.

$7 p + 34 = 0 + 0 - 2 (1 - 5 p)$

Simplify by adding zeros.

$7 p + 34 = - 2 (1 - 5 p)$

Apply the distributive property.

$7 p + 34 = - 2 \cdot 1 - 2 (- 5 p)$

Multiply.

Multiply $- 2$ by $1$ .

$7 p + 34 = - 2 - 2 (- 5 p)$

Multiply $- 5$ by $- 2$ .

$7 p + 34 = - 2 + 10 p$

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

Subtract $10 p$ from both sides of the equation.

$7 p + 34 - 10 p = - 2$

Subtract $10 p$ from $7 p$ .

$- 3 p + 34 = - 2$

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

Subtract $34$ from both sides of the equation.

$- 3 p = - 2 - 34$

Subtract $34$ from $- 2$ .

$- 3 p = - 36$

Divide each term in $- 3 p = - 36$ by $- 3$ and simplify.

Divide each term in $- 3 p = - 36$ by $- 3$ .

$\frac{- 3 p}{- 3} = \frac{- 36}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 p}{- 3} = \frac{- 36}{- 3}$

Divide $p$ by $1$ .

$p = \frac{- 36}{- 3}$

Simplify the right side.

Divide $- 36$ by $- 3$ .

$p = 12$