To simplify the expression \(8w - 8 - 15w + 1\), we need to combine like terms. The terms involving \(w\) are \(8w\) and \(-15w\), and the constant terms are \(-8\) and \(1\). Combine these terms to simplify the expression.
Step 1: Combine Like Terms
We start with the expression \(8w - 8 - 15w + 1\). To simplify, we first combine the coefficients of \(w\):
\[
8w - 15w = -7w
\]
Step 2: Combine Constant Terms
Next, we combine the constant terms:
\[
-8 + 1 = -7
\]