Question

How do you solve `16-2n-5+8n=65`?

Answer 1

`n = 9`

Explanation:

`16 - 2n - 5 + 8n = 65`

First, color-code the like terms on the left hand side:
`color(red)(16) quadcolor(green)(-quad2n) quadcolor(red)(-quad5) quadcolor(green)(+quad8n) = 65`

Combine the like terms:
`11 + 6n = 65`

Subtract `color(blue)11` from both sides:
`11 + 6n quadcolor(blue)(-quad11) = 65 quadcolor(blue)(-quad11)`

`6n = 54`

Now divide both sides by `color(blue)6`:
`(6n)/color(blue)6 = 54/color(blue)6`

Therefore,
`n = 9`

Hope this helps!