Question
Answer
$$3+r-16-(4-r-9)=2r-8$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3+r-16-(4-r-9)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}r-13-(-r-5) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}r-13+r+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}2r-8\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{3} +r \color{blue}{-16} = r \color{blue}{-13} $$Combine like terms: $$ \color{blue}{4} -r \color{blue}{-9} = -r \color{blue}{-5} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( -r-5 \right) = r+5 $$ |
| ③ | Combine like terms: $$ \color{blue}{r} \color{red}{-13} + \color{blue}{r} + \color{red}{5} = \color{blue}{2r} \color{red}{-8} $$ |
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