To simplify the expression \( 8v² + v² + 9v² + 2 - 3v² \), we can start by combining the like terms involving \( v² \).
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Combine the \( v² \) terms: \[ 8v² + v² + 9v² - 3v² = (8 + 1 + 9 - 3)v² = 15v² \]
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Now, add the constant term: \[ 15v² + 2 \]
Thus, the simplified expression is: \[ \boxed{15v² + 2} \]