Solve for a: -2(4a+8)=24
-2(4a+8)=24
-8a - 16 = 24
-8a = 24 + 16
-8a = 40
a = -5
I know these types of problems are a little confusing at first but once you get the system down you probably won't have any trouble.
To find out what a equals you will need to do some elimination, right? Just like trying to find out who stole a cookie you will need to eliminate suspects.
Now here is the problem.
-2(4a+8)=24
Use reasoning to see what the equation says. This equation says that -2x4a,
and -2x8 will tell you what a is if you talk to 24 in algebraese.
What is -2x4a? -8a
How about -2x8, -16
remember when you multiply any number by a negative number it will be negative.
So now -8a and -16 have to talk to 24.
So, who has to talk first? -16. Why? Because you are trying to find a and to do that you have to get -16 out of the way.
So to do that you move him over to 24 to talk.
Now you have -8a-16=24
To move -16 you have to make sure he's actually there. To do that you have to eliminate -16 from the left side. Who actually goes over to talk to someone and is in two places at the same time? To make sure -16 is not in two places at the same time the negative sign has to be removed.
-8a-16+16=24+16
what is 24+16? 40
Now we are starting to see who a is.
-8a=40
How do we narrow our suspect? We eliminate our last one, -8 However, we can't shove -8 over to talk to 40.
So we divide both sides by 8. Then the only thing left is a.
I will let you do that. You actually can see who a is by looking at it now.
Here it is step by step.
-2(4a+8)=24
-2x4a=-8a and -2x8=-16
-8a-16=24
-8a-16+16=24+16
-8a=24+16
-8a=40
-8a/-8=1
-40/-8=5
1a=5 remember a variable with 1 is the variable.
1a=a, so
a=5
Does this make sense?
To solve for a in the equation -2(4a+8) = 24, we can begin by simplifying the equation through the process of distributing.
Let's distribute -2 to both terms inside the parentheses:
-2 × 4a = -8a
-2 × 8 = -16
Now we can rewrite our equation: -8a - 16 = 24.
To isolate the variable a, we will get rid of the constant term on the left side of the equation by adding 16 to both sides:
-8a - 16 + 16 = 24 + 16
This simplifies to: -8a = 40.
Next, we can eliminate the coefficient -8 by dividing both sides of the equation by -8:
(-8a) / -8 = 40 / -8
This becomes: a = -5.
Therefore, the solution to the equation -2(4a+8) = 24 is a = -5.