The problem is to simplify the expression $(4p - q + 5) - (3p + 2q - 7)$.

1. Problem Description

The problem is to simplify the expression $(4p - q + 5) - (3p + 2q - 7)$.

2. Solution Steps

First, distribute the negative sign to each term inside the second parentheses:

$(4p - q + 5) - (3p + 2q - 7) = 4p - q + 5 - 3p - 2q + 7$

Next, combine like terms:

Terms with $p$: $4p - 3p = p$

Terms with $q$: $-q - 2q = -3q$

Constant terms: $5 + 7 = 12$

Combining these terms, we get:

$p - 3q + 12$

3. Final Answer

The simplified expression is $p - 3q + 12$.