Our current equation is:
-5(3n + 4) = 40
To solve for this, we need to use the Distributive Property. The Distributive Property allows any number/variable outside of the parenthesis to be multiplied by all numbers/variables inside of the parenthesis.
For example, 3(2 + 3) would be:
3(2) + 3(3)
6 + 9
15.
Now that we've defined our terms and provided an example, I think we're ready to solve.
-5(3n + 4) = 40
-5(3n) + -5(4) (multiplying a positive by a negative makes a negative)
-15n -20 = 40
Add 20 to both sides to get -15n by itself.
-20 + 20 = 0
40 + 20 = 60
We now have:
-15n = 60
Divide both sides by -15 to solve for n.
-15n / -15 = n
60 / -15 = -4
N = -4.
Your answer is A.) -4.
I hope this helps!