I can't figure out how the answer to this problem is 25 plus 365n

Here are  both:

Correct method

1. Write the brackets ( ) around 0.4368 + 2 pi n

2. multiply both sides of the equation by ( 365 / 2 pi )

(365 / 2 pi) x (2 pi / 365) t = (0.4368 + 2 pi n) x (365 / 2 pi)

3. Cancel out so now

t = (0.4368 + 2 pi n) x (365 / 2 pi)

4. multiply both terms in the bracket by (365 / 2 pi ) 

so now have

t = 0.4368 x (365 / 2 pi) + 2 pi  n x (365 / 2 pi ) 

5. cancel so now have

t = 0.4368 x ( 365 / 2pi ) + n365

6. substitute a value for pi, 3.14159 and solve for 2 pi before dividing then you have

t = 0.4368 x (365 / (2 x 3.14159)) +  

t = 0.4368 x (365 / 6.28318) + 365n

t = 0.4368 x 58.0916032964 +  365n

t=25.3744123199 + 365n

Wrong Method

t=250.43498844  + 365n

Why? Because you have to divide 365 by (2x  value of pi) in step 6 above .  It is not (365 divide by 2) then x value of pi as is here: 

t = 0.4368 x 365 / 2 pi + 365n

t =  79.716 pi + 365 n 

t = 79.716 x 3.14159 + 365n

t = 250.43498844