Question
Answer
$$a-(3b+3b-2a)-3a=-6b$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}a-(3b+3b-2a)-3a& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}a-(-2a+6b)-3a \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}a+2a-6b-3a \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-6b\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{3b} + \color{blue}{3b} -2a = -2a+ \color{blue}{6b} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( -2a+6b \right) = 2a-6b $$ |
| ③ | Combine like terms: $$ \color{blue}{a} + \color{red}{2a} -6b \color{red}{-3a} = -6b $$ |
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