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

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

Solve for v

$$v=3$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply -4 by v-8.

$$-4v+8=-4v+32-8v$$

Combine -4v and -8v to get -12v.

$$-4v+8=-12v+32$$

Add 12v to both sides.

$$-4v+8+12v=32$$

Combine -4v and 12v to get 8v.

$$8v+8=32$$

Subtract 8 from both sides.

$$8v=32-8$$

Subtract 8 from 32 to get 24.

$$8v=24$$

Divide both sides by 8.

$$v=\frac{24}{8}$$

Divide 24 by 8 to get 3.

$$v=3$$