Question 373839
{{{-3-4(t-5)=-2(t+3)+11}}} Start with the given equation.



{{{-3-4t+20=-2t-6+11}}} Distribute.



{{{17-4t=-2t-6+11}}} Combine like terms on the left side.



{{{17-4t=5-2t}}} Combine like terms on the right side.



{{{-4t=5-2t-17}}} Subtract {{{17}}} from both sides.



{{{-4t+2t=5-17}}} Add {{{2t}}} to both sides.



{{{-2t=5-17}}} Combine like terms on the left side.



{{{-2t=-12}}} Combine like terms on the right side.



{{{t=(-12)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{t}}}.



{{{t=6}}} Reduce.



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Answer:


So the solution is {{{t=6}}} 



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