Question

How do you solve `-6v + 3( v - 2) = 18`?

Answer 1

See a solution process below:

Explanation:

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

`-6v + color(red)(3)(v - 2) = 18`

`-6v + (color(red)(3) xx v) - (color(red)(3) xx 2) = 18`

`-6v + 3v - 6 = 18`

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

`(-6 + 3)v - 6 = 18`

`-3v - 6 = 18`

Then, add `color(red)(6)` to each side of the equation to isolate the `v` term while keeping the equation balanced:

`-3v - 6 + color(red)(6) = 18 + color(red)(6)`

`-3v - 0 = 24`

`-3v = 24`

Now, divide each side of the equation by `color(red)(-3)` to solve for `v` while keeping the equation balanced:

`(-3v)/color(red)(-3) = 24/color(red)(-3)`

`(color(red)(cancel(color(black)(-3)))v)/cancel(color(red)(-3)) = -8`

`v = -8`