First, let's find the additive inverse of the linear expression within the second set of parentheses. To do so, we can distribute -1 into the second set of parentheses. When we do so, we multiply each term of that linear expression by -1.
Now, let's identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined.
( -8x+ 1)+( -8x + 1)
In this case, we have two x-terms and two constants. Let's arrange the like terms in columns. Then, let's perform the addition.
-8 x +1&
(+) -8 x +1&
-16 x +2&
Therefore, we get the following result.
(-8x+1)-(8x-1) = -16x + 2
