Question
Answer
$$3b\cdot2+9b-84b\cdot2-5b+45b\cdot2+37b+14-10b\cdot2+6b+4=-45b+18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3b\cdot2+9b-84b\cdot2-5b+45b\cdot2+37b+14-10b\cdot2+6b+4& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}6b+9b-168b-5b+90b+37b+14-20b+6b+4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}-45b+18\end{aligned} $$ | |
| ① | $$ 3 b \cdot 2 = 6 b $$ |
| ② | $$ 84 b \cdot 2 = 168 b $$ |
| ③ | $$ 45 b \cdot 2 = 90 b $$ |
| ④ | $$ 10 b \cdot 2 = 20 b $$ |
| ⑤ | Combine like terms: $$ \color{blue}{6b} + \color{red}{9b} \color{green}{-168b} \color{orange}{-5b} + \color{blue}{90b} + \color{red}{37b} + \color{green}{14} \color{orange}{-20b} + \color{orange}{6b} + \color{green}{4} = \color{orange}{-45b} + \color{green}{18} $$ |
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