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

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

Solve for v

$$v=-4$$

Steps for Solving Linear Equation

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

$$3v+9+v=2\left(v-1\right)+3$$

Combine 3v and v to get 4v.

$$4v+9=2\left(v-1\right)+3$$

Use the distributive property to multiply 2 by v-1.

$$4v+9=2v-2+3$$

Add -2 and 3 to get 1.

$$4v+9=2v+1$$

Subtract 2v from both sides.

$$4v+9-2v=1$$

Combine 4v and -2v to get 2v.

$$2v+9=1$$

Subtract 9 from both sides.

$$2v=1-9$$

Subtract 9 from 1 to get -8.

$$2v=-8$$

Divide both sides by 2.

$$v=\frac{-8}{2}$$

Divide -8 by 2 to get -4.

$$v=-4$$