Answer
$$3\cdot(4-d)+2(d-5)=-d+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\cdot(4-d)+2(d-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12-3d+2d-10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-d+2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( 4-d\right) $ $$ \color{blue}{3} \cdot \left( 4-d\right) = 12-3d $$Multiply $ \color{blue}{2} $ by $ \left( d-5\right) $ $$ \color{blue}{2} \cdot \left( d-5\right) = 2d-10 $$ |
| ② | Combine like terms: $$ \color{blue}{12} \color{red}{-3d} + \color{red}{2d} \color{blue}{-10} = \color{red}{-d} + \color{blue}{2} $$ |
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