To evaluate the expression \(6a + 4b - 3c\) for \(a = 3\), \(b = 5\), and \(c = 10\), we can substitute the values of \(a\), \(b\), and \(c\) into the expression.
\[ 6a + 4b - 3c = 6(3) + 4(5) - 3(10) \]
Now, calculate each term:
- \(6(3) = 18\)
- \(4(5) = 20\)
- \(3(10) = 30\)
Now substitute these values back into the expression:
\[ 18 + 20 - 30 \]
Next, perform the addition and subtraction:
\[ 18 + 20 = 38 \] \[ 38 - 30 = 8 \]
Therefore, the value of the expression \(6a + 4b - 3c\) is \(\boxed{8}\).