To make the mathematical statement true, we can manipulate the equation.
Starting from the left side:
7⋅g − 35
We can factor out a common factor of 7:
7(g - 5)
Now, we can compare this to the right side of the equation you provided:
7(g - _)
From our factoring, we see that the blank must be filled with 5 in order for the equation to be true.
So, the number that makes the statement true is:
5