Question 335814


{{{(5/3)(2s+2)=-(1/12)(5s+2)-4}}} Start with the given equation.



{{{(10/3)s+10/3=-(5/12)s-1/6-4}}} Distribute.



{{{12((10/cross(3))s+10/cross(3))=12(-(5/cross(12))s-1/cross(6)-4)}}} Multiply both sides by the LCD {{{12}}} to clear any fractions.



{{{40s+40=-5s-2-48}}} Distribute and multiply.



{{{40s+40=-50-5s}}} Combine like terms on the right side.



{{{40s=-50-5s-40}}} Subtract {{{40}}} from both sides.



{{{40s+5s=-50-40}}} Add {{{5s}}} to both sides.



{{{45s=-50-40}}} Combine like terms on the left side.



{{{45s=-90}}} Combine like terms on the right side.



{{{s=(-90)/(45)}}} Divide both sides by {{{45}}} to isolate {{{s}}}.



{{{s=-2}}} Reduce.



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Answer:


So the answer is {{{s=-2}}}



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