Question
Answer
$$3b-(4b-6b+2)+b=6b-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3b-(4b-6b+2)+b& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3b-(-2b+2)+b \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3b+2b-2+b \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}6b-2\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{4b} \color{blue}{-6b} +2 = \color{blue}{-2b} +2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( -2b+2 \right) = 2b-2 $$ |
| ③ | Combine like terms: $$ \color{blue}{3b} + \color{red}{2b} -2+ \color{red}{b} = \color{red}{6b} -2 $$ |
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