Answer
$$5k-9k+1-(8k+13)=-12k-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5k-9k+1-(8k+13)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-4k+1-(8k+13) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4k+1-8k-13 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-12k-12\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{5k} \color{blue}{-9k} +1 = \color{blue}{-4k} +1 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8k+13 \right) = -8k-13 $$ |
| ③ | Combine like terms: $$ \color{blue}{-4k} + \color{red}{1} \color{blue}{-8k} \color{red}{-13} = \color{blue}{-12k} \color{red}{-12} $$ |
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