The given equation is: \[ 5v - 5v + 5v + 1 = 16 \]
First, simplify the terms involving \( v \): \[ 5v - 5v + 5v = (5 - 5 + 5)v = 5v \]
So the equation becomes: \[ 5v + 1 = 16 \]
Subtract 1 from both sides of the equation: \[ 5v = 16 - 1 \] \[ 5v = 15 \]
Now, divide both sides by 5: \[ v = \frac{15}{5} \] \[ v = 3 \]
\[ \boxed{v = 3} \]
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