First off, in 5(n-3), there would be a hidden multiplication symbol:
5(n-3)
=5 x (n-3)
We then need to multiply 5 by the numbers in the bracket seperately:
5×(n-3)
=5×n + 3×5
=5n + 15
Therefore the answer is C. 5n - 15.
Here's another example similar to the above case:
3(y-1)
=3 × (y-1)
=3 × y + (-1) × 3
=3y + -3
Hope it helps!