# How do you simplify 6a + 2a?

Nov 2, 2015

$8 a$

#### Explanation:

A multiplication is just a short way to write a sum, in the sense that

$6 a = {\underbrace{a + a + a + a + a + a}}_{6}$, and

$2 a = {\underbrace{a + a}}_{2}$.

Now, let's add the two terms:

$6 a + 2 a = {\underbrace{{\underbrace{a + a + a + a + a + a}}_{6} + {\underbrace{a + a}}_{2}}}_{8}$

which means that the total is eight times $a$.