Question 139523


{{{4/5=-11r-2/3}}} Start with the given equation




{{{(15)(4/5)=(15)(-11r-2/3)}}} Multiply both sides by the LCM of 15. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{12=-165r-10}}} Distribute and multiply the LCM to each side




{{{0=-165r-10-12}}}Subtract 12 from both sides



{{{+165r=-10-12}}} Add 165r to both sides



{{{165r+0=-22}}} Combine like terms on the right side



{{{r=(-22)/(165)}}} Divide both sides by 165 to isolate r




{{{r=-2/15}}} Reduce


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Answer:

So our answer is {{{r=-2/15}}}  (which is approximately {{{r=-0.1333}}} in decimal form)