Question

- 2p + 8 = 6 - (7p + 7)

Answer 1

p=1

Explanation:

first you need to get rid of the parenthesis

-2p+8=6-7p+7

then combine everything you can on their respective sides

-2p+8=13-7p

then get the variable on one side and for this, it can be done 2 different ways but both ways get the same answer

-2p+8=13-7p

+7p +7p

5p+8=13

or

-2p+8=13-7p

+2p +2p

8=13-5p

then, depending on which way you decide to solve it, you would then solve for x like you would in any regualar equation

first way shown above:

5p+8=13

-8 -8

5p=5

divide them both by 5 and p=1

or the other way shown above

8=13-5p

-13 -13

-5=-5p

divide both sides by -5 and then p=1

Answer 2

First you wanna use distributive property with the negative sign so it would look like this
-2p+8=6-7p-7
Then you want to at 7P to both sides
5p+8=6-7
Now you want to combine 6-1 and you get -1 and then you want to subtract it from both sides and it will look like this
5p=-9
Now divide both sides by five and you get your final answer
p=-9/5