Question

How do you solve `-8v + 4( v - 2) = - 32`?

Answer 1

`v=6`

Explanation:

Multiply `4` through the brackets,

`-8v+4v-8=-32`

Collect like terms,

`-4v=-24`

Divide both sides by `-4`,

`v=6`

Answer 2

`v=6`

See the process in the explanation.

Explanation:

Solve:

`-8v+4(v-2)=-32`

Expand.

`-8v+4v-8=-32`

Add `8` to both sides of the equation.

`-8v+4v-color(red)cancel(color(black)(8))+color(red)cancel(color(black)(8))=-32+8`

Simplify.

`-4v=-24`

Divide both sides by `-4`.

`color(red)cancel(color(black)(-4v))/color(red)cancel(color(black)(-4))=color(red)cancel(color(black)(-24))^color(blue)6/color(red)cancel(color(black)(-4)^color(blue)1`

Simplify.

`v=6`