Question 737725
"algebraic homework assignment", means you are studying number properties.  You are becoming acquainted with properties of equality and the meaning and use of inverses.  


You want some help for the equation, {{{5b=60}}}.

(1) multiply left and right sides by the multiplicative inverse of 5.
(2) simplify both sides, meaning computations and  reduce any fractions.
(3) you should now have your solution for b.


Looking for "combinations" is not meaningful.  Your equation has only one variable in only one place and it is present as multiplied by 5; so you want to undo that multiplication, by multiplying both sides by the multiplicative inverse of 5.  The idea* is that {{{5*(5^-1)=1 }}}.


* What I should have said was, the idea is that {{{5*(1/5)=1}}}.  Your level of study has not yet, assumed, given you instruction about negative exponents (but soon it will).  The multiplicative inverse of 5 is {{{1/5}}}.  Also, the multiplicative inverse of {{{1/5}}} is 5.