Question

solve for w.
$-\frac{3w}{8} = 9$
simplify your answer as much as possible.
$w = \square$

Explanation:

Step1: Multiply both sides by 8

To eliminate the denominator, we multiply both sides of the equation \(-\frac{3w}{8} = 9\) by 8. This gives us \(-3w = 9\times8\).
\[
-\frac{3w}{8}\times8 = 9\times8
\]
\[
-3w = 72
\]

Step2: Divide both sides by -3

To solve for \(w\), we divide both sides of the equation \(-3w = 72\) by \(-3\). This gives us \(w=\frac{72}{-3}\).
\[
w=\frac{72}{-3}
\]
\[
w = -24
\]

Answer:

\(w = -24\)