Question 103774
{{{2-(3/4)z=(1/8)z+9}}} Start with the given equation




{{{(8)(2-(3/4)z)=(8)((1/8)z+9)}}} 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>)




{{{16-6z=z+72}}} Distribute and multiply the LCM to each side




{{{-6z=z+72-16}}}Subtract 16 from both sides



{{{-6z-z=72-16}}} Subtract z from both sides



{{{-7z=72-16}}} Combine like terms on the left side



{{{-7z=56}}} Combine like terms on the right side



{{{z=(56)/(-7)}}} Divide both sides by -7 to isolate z




{{{z=-8}}} Divide


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Answer:

So our answer is {{{z=-8}}}