<PRE><B>Question 204391</B>
{{{t/2-(t-2/3)=3/2}}} Start with given equation.



{{{t/2-t+2/3=3/2}}} Distribute



{{{3t-6t+4=9}}} Multiply EVERY term by the LCD 6 to clear out the fractions.



{{{4-3t=9}}} Combine like terms on the left side.



{{{-3t=9-4}}} Subtract {{{4}}} from both sides.



{{{-3t=5}}} Combine like terms on the right side.



{{{t=(5)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{t}}}.



{{{t=-5/3}}} Reduce.



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Answer:


So the answer is {{{t=-5/3}}} which approximates to {{{t=-1.667}}}. </PRE>