Question
Answer
$$-7q\cdot2+13q-5-(2q\cdot2+10)=-5q-15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-7q\cdot2+13q-5-(2q\cdot2+10)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-14q+13q-5-(4q+10) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-q-5-(4q+10) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-q-5-4q-10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-5q-15\end{aligned} $$ | |
| ① | $$ 7 q \cdot 2 = 14 q $$$$ 2 q \cdot 2 = 4 q $$ |
| ② | Combine like terms: $$ \color{blue}{-14q} + \color{blue}{13q} -5 = \color{blue}{-q} -5 $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4q+10 \right) = -4q-10 $$ |
| ④ | Combine like terms: $$ \color{blue}{-q} \color{red}{-5} \color{blue}{-4q} \color{red}{-10} = \color{blue}{-5q} \color{red}{-15} $$ |
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