Given:
[tex]6+17w=-15+14w[/tex]To solve the expression, follow the steps below.
Step 01: Subtract 14w from both sides.
[tex]\begin{gathered} 6+17w-14w=-15+14w-14w \\ 6+3w=-15 \end{gathered}[/tex]Step 02: Subtract 6 from both sides.
[tex]\begin{gathered} 6+3w-6=-15-6 \\ 3w=-21 \end{gathered}[/tex]Step 03: Divide both sides by 3.
[tex]\begin{gathered} \frac{3w}{3}=\frac{-21}{3} \\ w=-7 \end{gathered}[/tex]Answer: w = -7.