### Video Transcript

Given that ππ minus four π plus two π equals 12, what is the value of 12π minus three ππ minus six π?

Well, if we take a look at the two expressions ππ minus four π plus two π and 12π minus three ππ minus six π, can we see any similarities? Well, what Iβve done to help us with this is put the like terms underneath each other. So weβve got ππ. And then weβve got negative three ππ. Then weβve got negative four π. Weβve got positive 12π. And weβve got positive two π. And weβve got negative six π.

Well, upon inspection, we can see that if we multiply each of the terms in the first line by negative three, it actually brings us to the terms in the second line. So if weβve got ππ multiplied by negative three, we get negative three ππ. If weβve got negative four π multiplied by negative three, we get positive 12π. And thatβs because a negative multiplied by a negative is a positive. And then, finally, weβve got two π multiplied by negative three gives us negative six π.

So therefore, if we can get to the second row from the first row by multiplying by negative three, and we know that the first row is equal to 12, then we can work out the answer of the second row or the second equation. And we get that by multiplying 12 by negative three. And this gives us an answer of negative 36. Well, we can say that, given that ππ minus four π plus two π equals 12, the value of 12π minus three ππ minus six π is negative 36.