Hi there!
This problem requires us to solve for k, when solving problems like this it is important to note that what you do to one side of the equation (add,subtract,multiply and/or divide), you MUST do to the other side of the equation. Let's start!
First, we must distribute 8, in this case we need to distribute on BOTH sides of the equation. Remember when we distribute we use the distribution property:
You must distribute to every number and/or variable present within the parentheses:
Once we multiply the numbers together we have:
From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example:
3c and 4c are like terms because they have the same variables
24 and 50 are like terms because they are simply numbers without any variables.
In our problem, we see that we have -48k and -32k these are like terms. Our goal is to cancel out numbers so that we can solve for k.
Lets start by adding 48 to both sides so that we can have all the k's on one side of the equation:
Now we have:
Now let's get the numbers without the variables on one side, we can do this by subtracting the 24 from the right side of the equation. Remember when we do one thing to one side of the equation we must apply it to both. So we subtract 24 on both sides.
Now we have:
Lastly, we must divide both sides of the equation by -16 to solve for k. We divide by -16 because the opposite of multiplication is division, -16 is currently multiplied by k:
When we divide we get k=3
Our final answer would be: k=3
If you have an further questions, please do not hesitate to comment below! Have a nice day! :) <span />
