show me the steps on how to slove

3(8p-1)-17p

1 answer

To solve the expression \(3(8p - 1) - 17p\), follow these steps:

  1. Distribute the 3 into the parentheses:
    \(3(8p - 1) = 3 \cdot 8p - 3 \cdot 1 = 24p - 3\).

  2. Rewrite the expression with the distributed terms:
    Now the expression becomes:
    \(24p - 3 - 17p\).

  3. 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:

\[ \boxed{7p - 3} \]