Question
Answer
$$2s\cdot2+s-\dfrac{36}{2}s\cdot3+5s\cdot2-18s=-57s$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2s\cdot2+s-\frac{36}{2}s\cdot3+5s\cdot2-18s& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4s+s-\frac{36}{2}s\cdot3+10s-18s \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5s-\frac{36}{2}s\cdot3+10s-18s \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}5s - \frac{ 36 : \color{orangered}{ 2 } }{ 2 : \color{orangered}{ 2 }} \cdot s \cdot 3 + 10s - 18s \xlongequal{ } \\[1 em] & \xlongequal{ }5s-\frac{18}{1}s\cdot3+10s-18s \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}5s-18s\cdot3+10s-18s \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}5s-54s+10s-18s \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle6}{\textcircled {6}} } }}}-49s+10s-18s \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle7}{\textcircled {7}} } }}}-57s\end{aligned} $$ | |
| ① | $$ 2 s \cdot 2 = 4 s $$$$ 5 s \cdot 2 = 10 s $$ |
| ② | Combine like terms: $$ \color{blue}{4s} + \color{blue}{s} = \color{blue}{5s} $$ |
| ③ | Divide both the top and bottom numbers by $ \color{orangered}{ 2 } $. |
| ④ | Remove 1 from denominator. |
| ⑤ | $$ 18 s \cdot 3 = 54 s $$ |
| ⑥ | Combine like terms: $$ \color{blue}{5s} \color{blue}{-54s} = \color{blue}{-49s} $$ |
| ⑦ | Combine like terms: $$ \color{blue}{-49s} + \color{red}{10s} \color{red}{-18s} = \color{red}{-57s} $$ |
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