Question 104856
{{{7+3t/4=t/8}}} Start with the given equation




{{{(8)(7+3t/4)=(8)(t/8)}}} Multiply both sides by the LCM of 8. 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>)




{{{56+6t=t}}} Distribute and multiply the LCM to each side



{{{6t=t-56}}}Subtract 56 from both sides



{{{6t-t=-56}}} Subtract t from both sides



{{{5t=-56}}} Combine like terms on the left side



{{{t=(-56)/(5)}}} Divide both sides by 5 to isolate t




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Answer:

So our answer is {{{t=-56/5}}}  (which is {{{t=-11.2}}} in decimal form)