To solve the equation \(-47 - 10w = -9w - 40 - 3w\), we will first simplify both sides.
Start by combining like terms on the right side:
\[ -9w - 3w = -12w \]
So the equation becomes:
\[ -47 - 10w = -12w - 40 \]
Next, let's add \(12w\) to both sides to isolate the \(w\) terms:
\[ -47 - 10w + 12w = -40 \]
This simplifies to:
\[ -47 + 2w = -40 \]
Now, let's add \(47\) to both sides to isolate the \(2w\):
\[ 2w = -40 + 47 \]
This gives:
\[ 2w = 7 \]
Next, divide both sides by \(2\) to solve for \(w\):
\[ w = \frac{7}{2} = 3.5 \]
Thus, the solution to the equation is:
\[ w = 3.5 \]