In order to simplify the equation
3(2p - 5) - 6p
We are going to follow two steps:
1. find an equal expression but that does not have parenthesis
2. combine like terms
In order to take off the parenthesis
3(2p - 5)
we use the distributive property of the multiplication.
We multiply 3 by each term of (2p - 5):
3(2p - 5) = 3 · 2p - 3 · 5
= 6p - 15
Then
3(2p - 5) - 6p = 6p - 15 - 6p
We want to find the like terms (terms with the same unkown variable):
terms with p: 6p and -6p
terms without any unkown variable: -15
Now, we add them:
6p - 15 - 6p = 0p - 15
= -15
Answer- 3(2p - 5) - 6p = -15