To simplify the expression \(8a - 2b + 12a - 2a + 4b\), we can combine like terms.
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Combine the terms with \(a\):
- \(8a + 12a - 2a = (8 + 12 - 2)a = 18a\)
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Combine the terms with \(b\):
- \(-2b + 4b = (-2 + 4)b = 2b\)
Now, put it all together:
\[ 18a + 2b \]
So, the simplified expression is \(18a + 2b\).