Answer
$$4(5w+1)+2(w+1)=22w+6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4(5w+1)+2(w+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20w+4+2w+2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}22w+6\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( 5w+1\right) $ $$ \color{blue}{4} \cdot \left( 5w+1\right) = 20w+4 $$Multiply $ \color{blue}{2} $ by $ \left( w+1\right) $ $$ \color{blue}{2} \cdot \left( w+1\right) = 2w+2 $$ |
| ② | Combine like terms: $$ \color{blue}{20w} + \color{red}{4} + \color{blue}{2w} + \color{red}{2} = \color{blue}{22w} + \color{red}{6} $$ |
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