Question

How do you solve `-5n-8(1+7n)=-8`?

Answer 1

`n=0`

Explanation:

`-5n-8(1-7n)=-8`
Open the brackets
`-5n-8+56n=-8`
Add both side 8
`-5n-8+56n+8=-8+8`
`51n=0`
`n=0`

Answer 2

`n=0`

Explanation:

`"distribute bracket and collect like terms"`

`-5n-8-56n=-8`

`rArr-61n-8=-8`

`"add 8 to both sides"`

`-61ncancel(-8)cancel(+8)=-8+8`

`rArr-61n=0`

`rArrn=0`

`color(blue)"As a check"`

Substitute this value into the equation and if both sides are equal then it is the solution.

`"left "=0-8(1+0)=0-8=-8=" right"`

`rArrn=0" is the solution"`

Answer 3

`n=0`

Explanation:

`-5n-8(1+7n)=-8`

Expanding:
`-5n-8(1)-8(7n)=-8`
`=-5n-8-56n=-8`

Adding 8 to both sides:
`=-5ncancel(-8)cancel(+8)-56n=cancel(-8)cancel(+8)`
`=61n=0`

Dividing both sides by 61:
`(cancel61n)/cancel61=0/61=0`

`rArrn=0`