Question

How do you solve `2+ 6v = - 8- 4v`?

Answer 1

`v = -1`

Explanation:

Original: `" "2+6v = -8-4v`

(add `4v` to both sides) `" "2+10v = -8`

(subtract `2` from both sides) `" "10v = -10`

(divide `10` from both sides) `" " v = -1`

So it may be more helpful if you see something like this and are stuck to imagine the different operations of the equation as individual parts. For example,

`(+2), (+6v) = (-8), (-4v)`

In order to "get rid" of the different separated parts of this equation, just do the opposite operation to the opposite side. For example, to cancel out `(-4v)`, just add `(+4v)` to `(+6v)`. You should end up with the same answer of `-1` after you have divided `-10` by `10`.

Answer 2

`v=-1`

Explanation:

`2+6v=-8-4v`

First begin by adding `8` to each side:

`10+6v=-4v`

Second, subtract `6v` from each side because you want to get the `v` variables on one side of the equation:

`10=-10v`

Lastly, divide each side by `-10` so `v` can be by itself on one side of the equation

`-1 =v`