Answer:
w=-7
Explanation:
Given the equation
[tex]8\mleft(w+10\mright)=2\mleft(-2w-2\mright)[/tex]First, open the brackets by distributing them.
[tex]\begin{gathered} 8w+8(10)=2(-2w)-2(2) \\ 8w+80=-4w-4 \end{gathered}[/tex]Next, collect like terms.
[tex]\begin{gathered} 8w+4w=-4-80 \\ 12w=-84 \end{gathered}[/tex]Finally, divide both sides by 12.
[tex]\begin{gathered} \frac{12w}{12}=-\frac{84}{12} \\ w=-7 \end{gathered}[/tex]The value of w is -7.
