Question 631564
{{{4(5z-1)-3(z+6)=10(z+1)}}} Start with the given equation.



{{{20z-4-3z-18=10z+10}}} Distribute.



{{{-22+17z=10z+10}}} Combine like terms on the left side.



{{{17z=10z+10+22}}} Add {{{22}}} to both sides.



{{{17z-10z=10+22}}} Subtract {{{10z}}} from both sides.



{{{7z=10+22}}} Combine like terms on the left side.



{{{7z=32}}} Combine like terms on the right side.



{{{z=(32)/(7)}}} Divide both sides by {{{7}}} to isolate {{{z}}}.



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Answer:


So the solution is {{{z=32/7}}} 


To perform the check, you plug the solution back into the given equation. Then you simplify. If you get a true equation, then the solution is verified.


I'll let you do the check.



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