Simplify the Expression: a+b+c-(a-b-c) Step by Step

$a+b+c-(a-b-c)=\text{?}$

Firstly we need to look at the expression inside of parentheses.

Remember:

When we multiply a negative number by a negative number, the result will be positive.

When we multiply a positive number by a negative number, the result will be negative.

Therefore:

$a+b+c-a+b+c=$

Now let's combine the $a$ terms:

$a-a=0$

Then we can combine the $b$ terms:

$b+b=2b$

Finally let's combine the $c$ terms:

$c+c=2c$

This leaves us with:

$0+2b+2c=2b+2c$