Given the equation:
-39 = 4w + 7(w-3)
Let's solve the equation for w.
To solve take the following steps.
• Step 1.
Apply distributive property
[tex]\begin{gathered} -39=4w+7(w)+7(-3) \\ \\ -39=4w+7w-21 \end{gathered}[/tex]• Step 2.
Combine like terms
[tex]-39=11w-21[/tex]• Step 3.
Add 21 to both sides
[tex]\begin{gathered} -39+21=11w-21+21 \\ \\ -18=11w \end{gathered}[/tex]Step 4.
Divide both sides by 11
[tex]\begin{gathered} \frac{-18}{11}=\frac{11w}{11} \\ \\ -1.63=w \\ \\ w=-1.63 \end{gathered}[/tex]ANSWER:
w = -1.63
