# How do you evaluate the following algebraic expression at b=-1 and simplify your answer -3(b-1)-4(b-3)?

Feb 13, 2017

See the entire solution process below:

#### Explanation:

To evaluate this expression to $b = - 1$ we need to substitute $\textcolor{red}{- 1}$ for every occurrence of $\textcolor{red}{b}$ in the expression and then calculate the result to simplify the answer:

$- 3 \left(\textcolor{red}{b} - 1\right) - 4 \left(\textcolor{red}{b} - 3\right)$ becomes:

$- 3 \left(\textcolor{red}{- 1} - 1\right) - 4 \left(\textcolor{red}{- 1} - 3\right)$

$\left(- 3 \times - 2\right) - \left(4 \times - 4\right)$

$6 - \left(- 16\right)$

$6 + 16$

$22$