Question

How do you solve `6( 5- 8v ) + 12= - 54`?

Answer 1

`V = 2`

Explanation:

`6(5 - 8v) + 12 = -54`
Distribute
`(6)(5)+(6)(-8v)+12 = -54`
`30 - 48v + 12 = -54`
Combine like terms
`-48 + 30 + 12 = -54`
`-48 + 42 = -54`
`-48v = -54 - 42`
`-48v = -96`
Divide both sides by -48
`(-48v)/-48 = (-96)/-48`
`v = 2`

I hope I helped!

Answer 2

`v=2`

Explanation:

Begin by disturbing the `6` to `(5-8v)`

`[6*5]+[6*-8]+12=-54`

`30-48v+12=-54`

Combine like terms:

`color(red)30-48v+color(red)12=-54`

`42-48v=-54`

Subtract `42` from both sides

`cancel(42color(red)(-42))-48v=-54color(red)(-42)`

`-48v=-96`

Divide `-48` from both sides to solve for `v`

`cancel(-48)/cancelcolor(red)(-48)v=(-96)/color(red)(-48)`

`v=2`

Answer 3

`v=2`

Explanation:

`6(5-8v)+12=-54`

Divide all terms by `6`:

`(6(5-8v))/6+12/6=(-54)/6`

`5-8v+2=-9`

Combine like terms:

`7-8v=-9`

Subtract `7` from both sides:

`-8v=-16`

Divide both sides by `-8`:

`v=2`