Question 507057
{{{9(b-4)-7b=5(3b-2)}}} Start with the given equation.



{{{9b-36-7b=15b-10}}} Distribute.



{{{2b-36=15b-10}}} Combine like terms on the left side.



{{{2b=15b-10+36}}} Add {{{36}}} to both sides.



{{{2b-15b=-10+36}}} Subtract {{{15b}}} from both sides.



{{{-13b=-10+36}}} Combine like terms on the left side.



{{{-13b=26}}} Combine like terms on the right side.



{{{b=(26)/(-13)}}} Divide both sides by {{{-13}}} to isolate {{{b}}}.



{{{b=-2}}} Reduce.



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Answer:


So the solution is {{{b=-2}}} 


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Jim