Recipical (you have the wrong spelling) is exchanging the numerator and denominator
or simply saying let the number upside down
for example $${\frac{{\mathtt{7}}}{{\mathtt{8}}}}$$ , its recipical is $${\frac{{\mathtt{8}}}{{\mathtt{7}}}}$$
for an integer , for example 5 , its recipical is $${\frac{{\mathtt{1}}}{{\mathtt{5}}}}$$ ( 5=$${\frac{{\mathtt{5}}}{{\mathtt{1}}}}$$)
read more at http://www.mathsisfun.com/reciprocal.html
Relatively prime (you have the wrong spelling again) means the highest common factor/greatest common divisor is always 1
for example , for 2 prime numbers, 3 and 7 , as they have only 1 common factor (here is 1) , they are relatively prime
or 2 connecting number , like 15 and 16 , their common factor is 1 and then they are relatively prime
read more at http://wiki.answers.com/Q/What_is_a_relative_prime_number?#slide=1
If you are wondering how you can make sure that your answer is right, you can always check your answer by putting the number that n equals in the original equation.
Let's put rosala's n = -2 in to make sure it works!
10(11n+5)=-10n-10+90n
10(11(-2)+5)=-10(-2)-10+90(-2)
10((-22)+5) = (+20)-10+(-180)
10(-17) = 20-10-180
-170 = 10-180
-170 = -170
This is a true statement, -170 does equal -170, so we know the answer is right.
Anyway, hope this helped.