Question

How do you solve `104=8(-8+n)`?

Answer 1

`n=21`

Explanation:

`104 = 8(-8+n)`

Step 1. Multiply `8` through on the right hand side

`104= -64+8n`

Step 2. Add `64` to both sides.

`168=8n`

Step 3. Divide both sides by `8`.

`n=168/8=21`

Answer 2

`n=21`

Explanation:

`"the first step is to distribute the bracket"`

`rArr104=-64+8n`

`"add 64 to both sides"`

`104+64=cancel(-64)cancel(+64)+8n`

`rArr8n=168larr" reversing the equation"`

`"divide both sides by 8"`

`(cancel(8) n)/cancel(8)=168/8`

`rArrn=21`

`color(blue)"As a check"`

Substitute this value into the right side of the equation and if equal to the left then it is the solution.

`8(-8+21)=8xx13=104=" left side"`

`rArrn=21" is the solution"`