Well, honey, the LCM of 6a and 8a is 24a. You see, you just gotta find the smallest number that both 6 and 8 can divide into evenly, and then slap on that 'a' like it's nobody's business. So, there you have it, 24a is the name of the game.
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The least common multiple (LCM) of 6a and 8a is the smallest number that is divisible by both 6a and 8a. To find the LCM, we need to first find the prime factors of each number. The prime factors of 6a are 2 x 3 x a, and the prime factors of 8a are 2 x 2 x 2 x a. The LCM is the product of all the unique prime factors with the highest power, so the LCM of 6a and 8a is 2 x 2 x 2 x 3 x a, which simplifies to 24a.
Oh, dude, like, the LCM of 6a and 8a is 24a. It's like the smallest multiple that both 6a and 8a can divide into without leaving a remainder. So, yeah, 24a is the magic number here.
6a-3=8a+11 -3-11=8a-6a -14=2a a=-7
4a+8a = 12a 12a divided by 2 = 6a
24a2
24a3
Add 8a to each side: -6a + 14 = 2 Subtract 14 from each side: -6a = -12 Divide each side by -6: a = 2. Job done.