Question 221553


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



{{{-3-16t+20=-2t-6+11}}} Distribute.



{{{17-16t=-2t-6+11}}} Combine like terms on the left side.



{{{17-16t=5-2t}}} Combine like terms on the right side.



{{{-16t=5-2t-17}}} Subtract {{{17}}} from both sides.



{{{-16t+2t=5-17}}} Add {{{2t}}} to both sides.



{{{-14t=5-17}}} Combine like terms on the left side.



{{{-14t=-12}}} Combine like terms on the right side.



{{{t=(-12)/(-14)}}} Divide both sides by {{{-14}}} to isolate {{{t}}}.



{{{t=6/7}}} Reduce.



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Answer:


So the solution is {{{t=6/7}}} which approximates to {{{t=0.857}}}.