Question

Solving multi-step equations/inequalities show each step by step and box your answer

Answer 1

We want to solve the following equation:

`2(6d+3)=18-3(16-3d)`

First, let's expand the parenthesis by using the distributive property.

`\begin{gathered} 2(6d+3)=18-3(16-3d) \\ 12d+6=18-48+9d \\ 12d+6=-30+9d \end{gathered}`

Now, let's subtract 6 from both sides of the equation.

`\begin{gathered} 12d+6-6=-30+9d-6 \\ 12d=-36+9d \end{gathered}`

Now, let's subtract 9d from both sides.

`\begin{gathered} 12d-9d=-36+9d-9d \\ 3d=-36 \end{gathered}`

And finally. let's divide both sides by 3.

`\begin{gathered} (3d)/(3)=-(36)/(3) \\ d=-12 \end{gathered}`

d = -12.