To evaluate the expression \( 3a - 2b + 5c \) for the given values \( a = 4 \), \( b = 2 \), and \( c = 8 \), we can substitute these values into the expression:
\[ 3(4) - 2(2) + 5(8) \]
Now, calculate each term:
- \( 3(4) = 12 \)
- \( -2(2) = -4 \)
- \( 5(8) = 40 \)
Now combine these results:
\[ 12 - 4 + 40 \]
First, calculate \( 12 - 4 \):
\[ 12 - 4 = 8 \]
Now, add \( 40 \):
\[ 8 + 40 = 48 \]
Thus, the final value of the expression is:
\[ \boxed{48} \]