Question 115239


{{{-1/6=(1/3)(b-4)}}} Start with the given equation




{{{(6)(-1/6)=(6)((1/3)(b-4))}}} Multiply both sides by the LCM of 6. 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>)




{{{-1=2(b-4)}}} Distribute and multiply the LCM to each side




{{{-1=2b-8}}} Distribute



{{{0=2b-8+1}}}Add 1 to both sides



{{{-2b=-8+1}}} Subtract 2b from both sides



{{{-2b=-7}}} Combine like terms on the right side



{{{b=(-7)/(-2)}}} Divide both sides by -2 to isolate b




{{{b=7/2}}} Reduce


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Answer:

So our answer is {{{b=7/2}}}  (which is approximately {{{b=3.5}}} in decimal form)