Question

How do you solve `4(8-p)-(7-p)=22`?

Answer 1

`p=1`

Explanation:

`"distribute the brackets on the left side of the equation"`

`32-4p-7+p=22`

`rArr-3p+25=22`

`"subtract 25 from both sides"`

`-3pcancel(+25)cancel(-25)=22-25`

`rArr-3p=-3`

`"divide both sides by "-3`

`(cancel(-3) p)/cancel(-3)=(-3)/(-3)`

`rArrp=1`

`color(blue)"As a check"`

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

`4(7)-(6)=28-6=22=" right side"`

`rArrp=1" is the solution"`