# How do you simplify  -(8-k)+8k(4k-7)?

Feb 6, 2017

$32 {k}^{2} - 55 k - 8$

#### Explanation:

The first step is to distribute the brackets.

$\Rightarrow - \left(8 - k\right) + 8 k \left(4 k - 7\right)$

$= \textcolor{b l u e}{- 8} \textcolor{red}{+ k} \textcolor{m a \ge n t a}{+ 32 {k}^{2}} \textcolor{red}{- 56 k}$

collecting like terms.

$\textcolor{m a \ge n t a}{32 {k}^{2}} \textcolor{red}{+ k - 56 k} \textcolor{b l u e}{- 8}$

$= 32 {k}^{2} - 55 k - 8$