To simplify the expression \( 2a - 4b + 7 + 8a + 6b - 2 \), we will combine like terms.
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Combine the \(a\) terms:
- \(2a + 8a = 10a\)
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Combine the \(b\) terms:
- \(-4b + 6b = 2b\)
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Combine the constants:
- \(7 - 2 = 5\)
Now, putting it all together, we have: \[ 10a + 2b + 5 \]
So the correct simplified expression is: 10a + 2b + 5 (10 a plus 2 b plus 5).