Question
Answer
$$2z+3(4z-2)+2\cdot(4-3z)=8z+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2z+3(4z-2)+2\cdot(4-3z)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2z+12z-6+8-6z \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}14z-6+8-6z \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}8z+2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( 4z-2\right) $ $$ \color{blue}{3} \cdot \left( 4z-2\right) = 12z-6 $$Multiply $ \color{blue}{2} $ by $ \left( 4-3z\right) $ $$ \color{blue}{2} \cdot \left( 4-3z\right) = 8-6z $$ |
| ② | Combine like terms: $$ \color{blue}{2z} + \color{blue}{12z} -6 = \color{blue}{14z} -6 $$ |
| ③ | Combine like terms: $$ \color{blue}{14z} \color{red}{-6} + \color{red}{8} \color{blue}{-6z} = \color{blue}{8z} + \color{red}{2} $$ |
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