Question
Answer
$$w-4(4w\cdot2-15w+9)=29w-36$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}w-4(4w\cdot2-15w+9)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}w-4(8w-15w+9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}w-4(-7w+9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}w-(-28w+36) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}w+28w-36 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}29w-36\end{aligned} $$ | |
| ① | $$ 4 w \cdot 2 = 8 w $$ |
| ② | Combine like terms: $$ \color{blue}{8w} \color{blue}{-15w} +9 = \color{blue}{-7w} +9 $$ |
| ③ | Multiply $ \color{blue}{4} $ by $ \left( -7w+9\right) $ $$ \color{blue}{4} \cdot \left( -7w+9\right) = -28w+36 $$ |
| ④ | Remove the parentheses by changing the sign of each term within them. $$ - \left( -28w+36 \right) = 28w-36 $$ |
| ⑤ | Combine like terms: $$ \color{blue}{w} + \color{blue}{28w} -36 = \color{blue}{29w} -36 $$ |
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