Question 213745


{{{-4(a+1)-3a=7(2a-3)+3}}} Start with the given equation.



{{{-4a-4-3a=14a-21+3}}} Distribute.



{{{-7a-4=14a-21+3}}} Combine like terms on the left side.



{{{-7a-4=14a-18}}} Combine like terms on the right side.



{{{-7a=14a-18+4}}} Add {{{4}}} to both sides.



{{{-7a-14a=-18+4}}} Subtract {{{14a}}} from both sides.



{{{-21a=-18+4}}} Combine like terms on the left side.



{{{-21a=-14}}} Combine like terms on the right side.



{{{a=(-14)/(-21)}}} Divide both sides by {{{-21}}} to isolate {{{a}}}.



{{{a=2/3}}} Reduce.



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Answer:


So the solution is {{{a=2/3}}} which approximates to {{{a=0.667}}}.