Solve -7(4+4p)+3p=8p-4(p+7)

$$- 7 ( 4 + 4 p ) + 3 p = 8 p - 4 ( p + 7 )$$

Solve for p

$$p=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 4+4p.

$$-28-28p+3p=8p-4\left(p+7\right)$$

Combine -28p and 3p to get -25p.

$$-28-25p=8p-4\left(p+7\right)$$

Use the distributive property to multiply -4 by p+7.

$$-28-25p=8p-4p-28$$

Combine 8p and -4p to get 4p.

$$-28-25p=4p-28$$

Subtract 4p from both sides.

$$-28-25p-4p=-28$$

Combine -25p and -4p to get -29p.

$$-28-29p=-28$$

Add 28 to both sides.

$$-29p=-28+28$$

Add -28 and 28 to get 0.

$$-29p=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -29 is not equal to 0, p must be equal to 0.

$$p=0$$