Question

How do you solve `7v - 2( 4v + 5) = - ( v + 8)`?

Answer 1

FALSE (see explanation). Did you make a typo?

Explanation:

`7v-2(4v+5)=-(v+8)`

`7v-[2(4v)+(-2)(5)]=\color(maroon)(-1)(v+8)` distributive property on left
`7v-[8v+(-10)]=[-1(v)+(-1)(8)]` simplify; distributive property on right
`-v-10=-v-8` simplify again

the two sides are not equal, as `-v-10\ne-v-8`
If you moved the `v`' s to one end, you would cancel them out. But the end result `-10\ne-8`...

So unless you made a typo, this is unsolvable.