![]() If I start with j and I divide by four, and then I multiply, and then I multiply by four, so I'm just going to multiply by four, then I'm just going to be left with j on the right-hand side. 'Cause if I divide something by four and then multiply by four, I'm just going to be left with that something. Now, to solve for j, I could just multiply both sides by four. Three, let me just rewrite it so you don't get confused. Now you might recognize 9/3, that's the same thing as nine divided by three. And on the right-hand side, the negative 10/3 and the positive 10/3, those cancel out to get a zero, and I'm just left with j/4. And so what am I going to get? On the left-hand side, I'm going to have negative 1/3 + 10/3, which is 9/3. I have to add 10/3 to both sides of the equation. If this is equal to that, in order for the quantity to be true, whatever I do to this I have to do to that as well. Now I can't just do that to one side of the equation. ![]() So I want to get rid of this negative 10/3, and the best way I can think of doing that is by adding 10/3. Since it's already on the right-hand side, let's try to get all the things that involve j on the right-hand side, and then get rid of everything else on the right-hand side. So what I like to do, I like to isolate the variable that I'm trying to solve for on one side. What j would make this equation true? Alright. So I encourage you to pause the video and see if you could solve for j. And this equation clearly involves fractions. Let's get some practice solving equations that involve fractions and decimals.
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