Question

Solve for w:8(w+10) = 2(-2w-2)

Answer 1

w=-7

Step-by-step explanation:

Given the equation

`8\mleft(w+10\mright)=2\mleft(-2w-2\mright)`

First, open the brackets by distributing them.

`\begin{gathered} 8w+8(10)=2(-2w)-2(2) \\ 8w+80=-4w-4 \end{gathered}`

Next, collect like terms.

`\begin{gathered} 8w+4w=-4-80 \\ 12w=-84 \end{gathered}`

Finally, divide both sides by 12.

`\begin{gathered} (12w)/(12)=-(84)/(12) \\ w=-7 \end{gathered}`

The value of w is -7.