To solve for this, we are using the Distributive Property, which allows us to multiply the numbers/variables outside of the parenthesis by the inside numbers/variables.
For example, j(1 + 2) would be j(1) + j(2).
With this information, we can solve or at most simplify the equation.
We have 8(5+7d) = -72.
First, let's use the Distributive Property.
8(5) + 8(7d).
Our products are:
40 + 56d.
Our new equation is:
56d + 40 = -72.
Now we need to get 56d alone.
Subtract 40 from -72, which is basically adding, except the value is different.
-72 -40 = -112
Our equation is now:
56d = 112.
Divide both sides by 56 to solve for d.
56d/56 = d
112/56 = 2
D = 2 is your solution.
I hope this helps!