To simplify the expression \( 7v + 8 - 5 - 6v + 8v - 2 \), we can follow these steps:
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Combine like terms for the variable \( v \):
- The terms with \( v \) are: \( 7v - 6v + 8v \)
- Combining these: \[ 7v - 6v + 8v = (7 - 6 + 8)v = 9v \]
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Now, combine the constant terms:
- The constant terms are: \( 8 - 5 - 2 \)
- Combining these: \[ 8 - 5 - 2 = 1 \]
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Now combine the simplified \( v \) terms and the constants: \[ 9v + 1 \]
Thus, the simplified expression is \( \boxed{9v + 1} \).
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