How do you simplify #2(4-3t)-(-3)+2t#?

1 Answer
Feb 18, 2016

#11 - 4t#

Explanation:

You want to use distribution and addition.

The equation is #2(4-3t) - (-3) + 2t#.

If we take the #2# at the beginning of the equation and multiply it into every term in the parentheses, we get:
#8-6t - (-3) + 2t#

Now, we take the negative sign and distribute it into the #-3# to get:
#8-6t + 3 + 2t#

We see that we can add the #8# and the #3# together since they are like terms (both are numbers).
#11-6t + 2t#

We also see that the #-6t# and the #2t# can be added since they are both like terms (both are a quantity of #t#).
#11 - 4t#

And how it's simplified!