Question
Answer
$$5-8k-(8k-13+2k)=-18k+18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5-8k-(8k-13+2k)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5-8k-(10k-13) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5-8k-10k+13 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-18k+18\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{8k} -13+ \color{blue}{2k} = \color{blue}{10k} -13 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 10k-13 \right) = -10k+13 $$ |
| ③ | Combine like terms: $$ \color{blue}{5} \color{red}{-8k} \color{red}{-10k} + \color{blue}{13} = \color{red}{-18k} + \color{blue}{18} $$ |
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