Question 674222
{{{6(5z-1)-5(z+2)=13(z+1)}}} Start with the given equation.



{{{30z-6-5z-10=13z+13}}} Distribute.



{{{-16+25z=13z+13}}} Combine like terms on the left side.



{{{25z=13z+13+16}}} Add {{{16}}} to both sides.



{{{25z-13z=13+16}}} Subtract {{{13z}}} from both sides.



{{{12z=13+16}}} Combine like terms on the left side.



{{{12z=29}}} Combine like terms on the right side.



{{{z=(29)/(12)}}} Divide both sides by {{{12}}} to isolate {{{z}}}.



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Answer:


So the solution is {{{z=29/12}}}