To simplify the expression \(2a - 4b + 7 + 8a + 6b - 2\), we can combine like terms.
First, we combine the \(a\) terms:
- \(2a + 8a = 10a\)
Next, we combine the \(b\) terms:
- \(-4b + 6b = 2b\)
Finally, we combine the constant terms:
- \(7 - 2 = 5\)
Putting it all together, we have: \[10a + 2b + 5\]
So the simplified expression is: 10a + 2b + 5