Question 891747
You most certainly really mean this:
(-6t)/(7t-14) =?/(35t-70)


This is just like any third-grader or fourth-grader fraction problem - but just with variables included.


What is the change from {{{7t-14}}} to {{{35t-70}}}?
Try factoring to see if this helps.
7(t-2) versus  35(t-2)   ----obviously 5 times greater, factor of 5 was used.


Now, wanted both of the fractions be equal, one is related to the other by a factor of 1, or {{{5/5}}} which is equal to 1.


Bring the left member to higher terms using factor {{{5/5}}}.
{{{((-6t)/(7t-14))(5/5)=(-30t)/(35t-70)}}}