Solve the equation for w. A=1/6(w+40)
\(a = \frac{1}{6} (w+40) \\ \\ a = \frac{w+40}{6} \\ \\ a \times 6 = w + 40 \\ \\ 6a = w + 40 \\ \\ 6a - 40 = w \\ \\ w = 6a - 40 \\ \\ Answer: \fbox {w = 6a - 40}\)