Answer :
[tex]\begin{gathered} 96+2w=2(80-3w)\rightarrow \\ 96+2w=160-6w\text{ or} \\ 48+w=80-3w \\ \end{gathered}[/tex]
You have a mistake in the first step, you should distribute the 2 first, or divide by two, and after that you can follow the procedure as you were doing. Do you understand it?
[tex]\begin{gathered} 48+w=80-3w \\ w+3w=80-48 \\ 4w=32 \\ w=\frac{32}{4}=8 \end{gathered}[/tex]w=8 is the answer
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