Question 382809
{{{9(20-12t)=8(6+9t)-24t}}} Start with the given equation.



{{{180-108t=48+72t-24t}}} Distribute.



{{{180-108t=48+48t}}} Combine like terms on the right side.



{{{-108t=48+48t-180}}} Subtract {{{180}}} from both sides.



{{{-108t-48t=48-180}}} Subtract {{{48t}}} from both sides.



{{{-156t=48-180}}} Combine like terms on the left side.



{{{-156t=-132}}} Combine like terms on the right side.



{{{t=(-132)/(-156)}}} Divide both sides by {{{-156}}} to isolate {{{t}}}.



{{{t=11/13}}} Reduce.



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Answer:


So the solution is {{{t=11/13}}} 



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