Solve 7(-17p-20)+7p=-2p+20(14-9p)

$$7 ( - 17 p - 20 ) + 7 p = - 2 p + 20 ( 14 - 9 p )$$

Solve for p

$$p=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by -17p-20.

$$-119p-140+7p=-2p+20\left(14-9p\right)$$

Combine -119p and 7p to get -112p.

$$-112p-140=-2p+20\left(14-9p\right)$$

Use the distributive property to multiply 20 by 14-9p.

$$-112p-140=-2p+280-180p$$

Combine -2p and -180p to get -182p.

$$-112p-140=-182p+280$$

Add 182p to both sides.

$$-112p-140+182p=280$$

Combine -112p and 182p to get 70p.

$$70p-140=280$$

Add 140 to both sides.

$$70p=280+140$$

Add 280 and 140 to get 420.

$$70p=420$$

Divide both sides by 70.

$$p=\frac{420}{70}$$

Divide 420 by 70 to get 6.

$$p=6$$