Solve 3(6v+8)leq16v+20

$$3 ( 6 v + 8 ) \leq 16 v + 20$$

Solve for v

$$v\leq -2$$

Solution Steps

Use the distributive property to multiply 3 by 6v+8.

$$18v+24\leq 16v+20$$

Subtract 16v from both sides.

$$18v+24-16v\leq 20$$

Combine 18v and -16v to get 2v.

$$2v+24\leq 20$$

Subtract 24 from both sides.

$$2v\leq 20-24$$

Subtract 24 from 20 to get -4.

$$2v\leq -4$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$v\leq \frac{-4}{2}$$

Divide -4 by 2 to get -2.

$$v\leq -2$$