We are given the expression 1 + 4(6p - 9) and we are asked to simplify it.
To do this, we will be using the correct order of operations and properties.
First, we will distribute or multiply 4 to each of the terms inside the parentheses, 6p - 9:
[tex]\begin{gathered} 1+4(6p-9) \\ =1+24p-36 \end{gathered}[/tex]
Next, we will combine like terms, which in this case are 1 and - 36.
[tex]\begin{gathered} 1+24p-36 \\ =24p+1-36 \\ =24p-35 \end{gathered}[/tex]
Because there is no more operation that can be executed, we know that we have already come to the simplest form of the expression.
Therefore, the answer is 24p - 35.
