Question
Answer
$$4(5n-2)-3(4n+5)=8n-23$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4(5n-2)-3(4n+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20n-8-(12n+15) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20n-8-12n-15 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}8n-23\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( 5n-2\right) $ $$ \color{blue}{4} \cdot \left( 5n-2\right) = 20n-8 $$Multiply $ \color{blue}{3} $ by $ \left( 4n+5\right) $ $$ \color{blue}{3} \cdot \left( 4n+5\right) = 12n+15 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 12n+15 \right) = -12n-15 $$ |
| ③ | Combine like terms: $$ \color{blue}{20n} \color{red}{-8} \color{blue}{-12n} \color{red}{-15} = \color{blue}{8n} \color{red}{-23} $$ |
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