To evaluate the expression [tex]\( 16p - 32q + 5 \)[/tex] given that [tex]\( p = 2 \)[/tex] and [tex]\( q = 1 \)[/tex], follow these steps:
1. Substitute the values of [tex]\( p \)[/tex] and [tex]\( q \)[/tex] into the expression:
[tex]\[
16p - 32q + 5 \rightarrow 16(2) - 32(1) + 5
\][/tex]
2. Perform the multiplication:
[tex]\[
16 \times 2 = 32
\][/tex]
[tex]\[
32 \times 1 = 32
\][/tex]
3. Replace the results from the multiplication into the expression:
[tex]\[
32 - 32 + 5
\][/tex]
4. Simplify the expression by performing the addition and subtraction from left to right:
[tex]\[
32 - 32 = 0
\][/tex]
[tex]\[
0 + 5 = 5
\][/tex]
So, the value of the expression [tex]\( 16p - 32q + 5 \)[/tex] when [tex]\( p = 2 \)[/tex] and [tex]\( q = 1 \)[/tex] is [tex]\( \boxed{5} \)[/tex].
