Evaluate the expression for the given value of the variable(s).
5a + 5b; a = -6, b = -5
a.
-55
b.
55
c.
5
d.
-5

Hello there! Thanks for taking the time to ask your question here on . 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! :)