Question

How do you solve `-6v + 8( v + 3) = 8`?

Answer 1

See the entire solution process below:

Explanation:

First, expand the term within parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

`-6v + color(red)(8)(v + 3) = 8`

`-6v + (color(red)(8) xx v) + (color(red)(8) xx 3) = 8`

`-6v + 8v + 24 = 8`

Next, combine like terms on the left side of the equation:

`(-6 + 8)v + 24 = 8`

`2v + 24 = 8`

Then, subtract `color(red)(24)` from each side of the equation to isolate the `v` term while keeping the equation balanced:

`2v + 24 - color(red)(24) = 8 - color(red)(24)`

`2v + 0 = -16`

`2v = -16`

Now, divide each side of the equation by `color(red)(2)` to solve for `v` while keeping the equation balanced:

`(2v)/color(red)(2) = -16/color(red)(2)`

`(color(red)(cancel(color(black)(2)))v)/cancel(color(red)(2)) = -8`

`v = -8`