Answer
$v=5$
Work Step by Step
We start with the given equation: $1.025v+2.458=7.583$
We multiply the whole equation by $1000$: $1000(1.025v+2.458=7.583)$
We apply the distributive property to multiply each term by $1000$: $1025v+2458=7583$
We subtract $2458$ from each side of the equation: $1025v+2538-2458=7583-2458$
We combine the like terms on each side of the equation: $1025v=5125$
Finally, we divide by $1025$ on each side of the equation: $v=\frac{5125}{1025}=5$
