Solve -16+5(7p+4)-28p<3p-8

$$- 16 + 5 ( 7 p + 4 ) - 28 p < 3 p - 8$$

Solve for p

$$p<-3$$

Solution Steps

Use the distributive property to multiply 5 by 7p+4.

$$-16+35p+20-28p<3p-8$$

Add -16 and 20 to get 4.

$$4+35p-28p<3p-8$$

Combine 35p and -28p to get 7p.

$$4+7p<3p-8$$

Subtract 3p from both sides.

$$4+7p-3p<-8$$

Combine 7p and -3p to get 4p.

$$4+4p<-8$$

Subtract 4 from both sides.

$$4p<-8-4$$

Subtract 4 from -8 to get -12.

$$4p<-12$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$p<\frac{-12}{4}$$

Divide -12 by 4 to get -3.

$$p<-3$$