Solve 4(v-2)=8v+2-2(-5v-4)

$$4 ( v - 2 ) = 8 v + 2 - 2 ( - 5 v - 4 )$$

Solve for v

$$v = -\frac{9}{7} = -1\frac{2}{7} \approx -1.285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by v-2.

$$4v-8=8v+2-2\left(-5v-4\right)$$

Use the distributive property to multiply -2 by -5v-4.

$$4v-8=8v+2+10v+8$$

Combine 8v and 10v to get 18v.

$$4v-8=18v+2+8$$

Add 2 and 8 to get 10.

$$4v-8=18v+10$$

Subtract 18v from both sides.

$$4v-8-18v=10$$

Combine 4v and -18v to get -14v.

$$-14v-8=10$$

Add 8 to both sides.

$$-14v=10+8$$

Add 10 and 8 to get 18.

$$-14v=18$$

Divide both sides by -14.

$$v=\frac{18}{-14}$$

Reduce the fraction \frac{18}{-14} to lowest terms by extracting and canceling out 2.

$$v=-\frac{9}{7}$$