Solve -2+2(9p+2)-9p<5p-14

$$- 2 + 2 ( 9 p + 2 ) - 9 p < 5 p - 14$$

Solve for p

$$p<-4$$

Solution Steps

Use the distributive property to multiply 2 by 9p+2.

$$-2+18p+4-9p<5p-14$$

Add -2 and 4 to get 2.

$$2+18p-9p<5p-14$$

Combine 18p and -9p to get 9p.

$$2+9p<5p-14$$

Subtract 5p from both sides.

$$2+9p-5p<-14$$

Combine 9p and -5p to get 4p.

$$2+4p<-14$$

Subtract 2 from both sides.

$$4p<-14-2$$

Subtract 2 from -14 to get -16.

$$4p<-16$$

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

$$p<\frac{-16}{4}$$

Divide -16 by 4 to get -4.

$$p<-4$$