Solve 2v-8+4(3v+1)=-2(v+9)

$$2 v - 8 + 4 ( 3 v + 1 ) = - 2 ( v + 9 )$$

Solve for v

$$v=-\frac{7}{8}=-0.875$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3v+1.

$$2v-8+12v+4=-2\left(v+9\right)$$

Combine 2v and 12v to get 14v.

$$14v-8+4=-2\left(v+9\right)$$

Add -8 and 4 to get -4.

$$14v-4=-2\left(v+9\right)$$

Use the distributive property to multiply -2 by v+9.

$$14v-4=-2v-18$$

Add 2v to both sides.

$$14v-4+2v=-18$$

Combine 14v and 2v to get 16v.

$$16v-4=-18$$

Add 4 to both sides.

$$16v=-18+4$$

Add -18 and 4 to get -14.

$$16v=-14$$

Divide both sides by 16.

$$v=\frac{-14}{16}$$

Reduce the fraction \frac{-14}{16} to lowest terms by extracting and canceling out 2.

$$v=-\frac{7}{8}$$