$\"\"$

Ninas illness her doctor gives her a prescription for $\"\"$ pills.

The doctor says that she should take $\"\"$ pills the first day and then $\"\"$ pills each day until her prescription runs out.

Find how many days does she take $\"\"$ pills.

Let $\"\"$ be the number of days Nina takes $\"\"$ pills.

Total number of pills are $\"\"$ .

$\"\"$ (Original equation)

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

$\"\"$ (Divide each side by $\"\"$ )

$\"\"$ (Cancel common terms)

Therefore, Nina takes $\"\"$ pills a day for $\"\"$ days.

$\"\"$

Nina takes $\"\"$ pills a day for $\"\"$ days.