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

Feb 18, 2016

$11 - 4 t$

#### Explanation:

You want to use distribution and addition.

The equation is $2 \left(4 - 3 t\right) - \left(- 3\right) + 2 t$.

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

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

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

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

And how it's simplified!