To solve the expression \(3(8p - 1) - 17p\), follow these steps:
-
Distribute the 3 into the parentheses:
\(3(8p - 1) = 3 \cdot 8p - 3 \cdot 1 = 24p - 3\). -
Rewrite the expression with the distributed terms:
Now the expression becomes:
\(24p - 3 - 17p\). -
Combine like terms:
Combine the terms with \(p\):
\(24p - 17p = 7p\).
So, the expression simplifies to:
\(7p - 3\).
At this point, the expression \(7p - 3\) cannot be simplified further without additional information (such as a value for \(p\)). Hence, the simplified expression is:
\[ \boxed{7p - 3} \]