How do you simplify $4p + 9 + ( - 7p) + 2?$

Hint: According to the question we have to determine the solution of the expression $4p + 9 + ( - 7p) + 2$. So, first of all we have to open all the smaller brackets in the expression which is as given in the question $4p + 9 + ( - 7p) + 2$.
Now, as we know that when a negative sign is multiplied with the positive sign it will become negative and then we have to solve the expression as obtained.
Now, we have to add and subtract the constant terms and terms having variable which is as p for the given expression.

Complete step-by-step answer:
Step 1: First of all we have to open all the smaller brackets in the expression which is as given in the question$4p + 9 + ( - 7p) + 2$ which is as explained in the solution hint. Hence,
$ \Rightarrow 4p + 9( + \times - )7p + 2.............(1)$
Step 2: Now, as we know that when negative sign is multiplied with the positive sign it will become negative and then we have to solve the expression (1) as obtained in the solution step 1. Hence,
$ \Rightarrow 4p + 9 - 7p + 2.............(2)$
Step 3: Now, we have to add and subtract the constant terms and terms having variable which is as p for the expression (2) which is as obtained in the solution step 2. Hence,
$
   \Rightarrow 4p - 7p + 9 + 2 \\
   \Rightarrow - 3p + 11 \\
 $

Hence, we have determined the solution of the given expression which is $4p + 9 + ( - 7p) + 2$ by adding and subtracting all the constant and variables of the given expression.

Note:
When a negative sign is multiplied with the positive sign it will become negative and then we have to solve the expression as obtained.
We can add or subtract a variable with the same variable as if the variable is x then it can be added or subtract with the same variable.