Solve 6v+7-3(-3v-1)=3(v-2)

$$6 v + 7 - 3 ( - 3 v - 1 ) = 3 ( v - 2 )$$

Solve for v

$$v = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by -3v-1.

$$6v+7+9v+3=3\left(v-2\right)$$

Combine 6v and 9v to get 15v.

$$15v+7+3=3\left(v-2\right)$$

Add 7 and 3 to get 10.

$$15v+10=3\left(v-2\right)$$

Use the distributive property to multiply 3 by v-2.

$$15v+10=3v-6$$

Subtract 3v from both sides.

$$15v+10-3v=-6$$

Combine 15v and -3v to get 12v.

$$12v+10=-6$$

Subtract 10 from both sides.

$$12v=-6-10$$

Subtract 10 from -6 to get -16.

$$12v=-16$$

Divide both sides by 12.

$$v=\frac{-16}{12}$$

Reduce the fraction \frac{-16}{12} to lowest terms by extracting and canceling out 4.

$$v=-\frac{4}{3}$$