Question

How do you solve `\frac { 8( 6- z ) } { 7} = - z`?

Answer 1

Hi,
z = 48

Explanation:

`8(6-z)/7` = -z (divide by 8)
`(6-z)/7` = `-1/8`z (multiply by 7)
`(6-z)` = `-7/8`z (all elements with z into one side)
`-z+7/8z` = `-6`
`-1/8z = -6` (multiply by -8)
`z = (-6)*(-8) = 48`

Answer 2

`48`

Explanation:

Start by multiplying both sides by `7` and distribute:

`(8(6-z))/7 = -z`

`8(6-z) = 7(-z)`

`48 - 8z = -7z`

Now add `8z` to both sides.

`48 cancel(- 8z + 8z) = -7z + 8z`

`48 = z`