Solve for p 11(4p+4)-4p=4(7p-7)

$11 (4 p + 4) - 4 p = 4 (7 p - 7)$

Simplify $11 (4 p + 4) - 4 p$ .

Simplify each term.

Apply the distributive property.

$11 (4 p) + 11 \cdot 4 - 4 p = 4 (7 p - 7)$

Multiply $4$ by $11$ .

$44 p + 11 \cdot 4 - 4 p = 4 (7 p - 7)$

Multiply $11$ by $4$ .

$44 p + 44 - 4 p = 4 (7 p - 7)$

Subtract $4 p$ from $44 p$ .

$40 p + 44 = 4 (7 p - 7)$

Simplify $4 (7 p - 7)$ .

Apply the distributive property.

$40 p + 44 = 4 (7 p) + 4 \cdot - 7$

Multiply.

Multiply $7$ by $4$ .

$40 p + 44 = 28 p + 4 \cdot - 7$

Multiply $4$ by $- 7$ .

$40 p + 44 = 28 p - 28$

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

Subtract $28 p$ from both sides of the equation.

$40 p + 44 - 28 p = - 28$

Subtract $28 p$ from $40 p$ .

$12 p + 44 = - 28$

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

Subtract $44$ from both sides of the equation.

$12 p = - 28 - 44$

Subtract $44$ from $- 28$ .

$12 p = - 72$

Divide each term in $12 p = - 72$ by $12$ and simplify.

Divide each term in $12 p = - 72$ by $12$ .

$\frac{12 p}{12} = \frac{- 72}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 p}{12} = \frac{- 72}{12}$

Divide $p$ by $1$ .

$p = \frac{- 72}{12}$

Simplify the right side.

Divide $- 72$ by $12$ .

$p = - 6$