Question 210219


{{{-6-(3a-7)-2a=a-6}}} Start with the given equation.



{{{-6-3a+7-2a=a-6}}} Distribute.



{{{-5a+1=a-6}}} Combine like terms on the left side.



{{{-5a=a-6-1}}} Subtract {{{1}}} from both sides.



{{{-5a-a=-6-1}}} Subtract {{{a}}} from both sides.



{{{-6a=-6-1}}} Combine like terms on the left side.



{{{-6a=-7}}} Combine like terms on the right side.



{{{a=(-7)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{a}}}.



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



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Answer:


So the solution is {{{a=7/6}}} which approximates to {{{a=1.167}}}.