The algebraic expression that we can use to find the value of B, the number of free throws that Brian scored is:
B = N + 12.
The given information on this problem is:
N represents the number of free throws that Nathan scored.
We also know that Brian scored 12 more free throws than Nathan.
So, if we define the variable B as the number of free throws that Brian scored, then we can write the relation between B and N as:
B = N + 12.
That is the algebraic expression that we can use to find the value of B, the number of free throws that Brian scored.
If you want to learn more about algebraic expressions:
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