Question

How do you solve `9p + 5- p = - 7`?

Answer 1

See the entire solution process below:

Explanation:

First, group and combine like terms on the left side of the equation:

`9p + 5 - p = -7`

`9p - p + 5 = -7`

`9p - 1p + 5 = -7`

`(9 - 1)p + 5 = -7`

`8p + 5 = -7`

Next, subtract `color(red)(5)` from each side of the equation to isolate the `p` term while keeping the equation balanced:

`8p + 5 - color(red)(5) = -7 - color(red)(5)`

`8p + 0 = -12`

`8p = -12`

Now, divide each side of the equation by `color(red)(8)` to solve for `p` while keeping the equation balanced:

`(8p)/color(red)(8) = -12/color(red)(8)`

`(color(red)(cancel(color(black)(8)))p)/cancel(color(red)(8)) = (4 xx -3)/color(red)(4 xx 2)`

`p = (color(red)(cancel(color(black)(4))) xx -3)/color(red)(color(black)(cancel(color(red)(4))) xx 2)`

`p = -3/2`

Answer 2

`p = -1.5`

Explanation:

Your main goals are to get `p` alone, and all like terms on one side!

First, subtract `5` so you can put the like terms together (`9p` and `-p`). Remember, what you do to one side must be done to the other. now your equation is

`9p-p= -7-5`

Now solve for the like terms (`9p` and `-p` and `-7` and `-5`), which gives you

`8p = -12`

To get `p` alone, divide both sides by `8` (what you do to one side must be done to the other). you now have your solution!

`p = -1.5`