Question

How do you solve `-32=8/7(3w-1)`?

Answer 1

`w=-9`

Explanation:

Multiplying both sides of the equation by 7 will eliminate the fraction.

`-32xx7=cancel(7)^1xx8/cancel(7)^1(3w-1)`

`rArr-224=8(3w-1)`

distribute the bracket.

`-224=24w-8`

`rArr24w-8=-224larr" reversing the equation"`

add 8 to both sides.

`24wcancel(-8)cancel(+8)=-224+8`

`rArr24w=-216`

To solve for w, divide both sides by 24.

`(cancel(24) w)/cancel(24)=-216/24`

`rArrw=-9" is the solution"`