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What is the value of w for the equation -3w+27=6

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Let's begin by listing out the information given to us:


\begin{gathered} -3w+27=6​ \\ \text{Put like terms together, we have:} \\ \text{Add 3w to both sides, we have:} \\ -3w+3w+27=6+3w \\ 27=6+3w \\ \text{Subtract 6 from both sides, we have:} \\ 27-6=6-6+3w \\ 21=3w\Rightarrow3w=21 \\ (3w)/(3)=(21)/(3)\Rightarrow w=7 \\ w=7 \end{gathered}

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