Hello there! Thanks for taking the time to ask your question here on Brainly. I'm Shigetora, and I'll be assisting you in understanding how to handle these problems by yourself in the future.
First, let's take a look at our equation;
5a + 5b; a = -6, b = -5.
To solve for this, we need to plug in the values for each variable.
Let's plug in -6 for a and -5 for b:
5(-6) + 5(-5)
Now, when you see a number/variable that is directly next to the outside parenthesis, it means to multiply that number or variable by the number(s)/variable(s) within the parenthesis.
With this information, let's apply it to our scenario.
5(-6) + 5(-5)
Multiply 5 by -6.
When you multiply or divide a number by a negative, your product or quotient will result a negative form.
Multiply 5 by -6.
-30 is 5a.
We now are left with:
-30 + 5(-5)
We must now apply the same concept to 5(-5).
Multiply 5 by -5, which results in -25.
We are now left with:
-30 + -25, or -30 - 25.
When you subtract a number from a negative, you're basically adding positive numbers with a negative sign.
Practically, -30 - 25 is the same as 30 + 25.
Subtract -25 from -30.
Your end difference is -55.
Your answer is "A.) -55".
I hope this helps! :)