# How do you simplify (2t+4)3+6(-5t)-(-8)?

Sep 18, 2016

$6 t - 10$

#### Explanation:

Remove the brackets using the distributive law. Be careful of the signs.

$\left(2 t + 4\right) \textcolor{b l u e}{3} + 6 \left(- 5 t\right) - \left(- 8\right)$

=$\textcolor{b l u e}{3} \left(2 t + 4\right) \textcolor{red}{+ 6 \left(- 5 t\right)} \textcolor{\lim e}{- \left(- 8\right)} \text{ } \leftarrow$ there are 3 terms

=$\textcolor{b l u e}{6 t + 12} \textcolor{red}{- 30} \textcolor{\lim e}{+ 8}$

=$6 t + 12 + 8 - 30 \text{ } \leftarrow$ re-arrange for easier calculation

=$6 t - 10$