Answer
$$5c-7(2c-4)=-9c+28$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5c-7(2c-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5c-(14c-28) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5c-14c+28 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-9c+28\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{7} $ by $ \left( 2c-4\right) $ $$ \color{blue}{7} \cdot \left( 2c-4\right) = 14c-28 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 14c-28 \right) = -14c+28 $$ |
| ③ | Combine like terms: $$ \color{blue}{5c} \color{blue}{-14c} +28 = \color{blue}{-9c} +28 $$ |
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