Question 696443
{{{4(3z-1)-5(z+2)=5(z+1)}}} Start with the given equation.



{{{12z-4-5z-10=5z+5}}} Distribute.



{{{-14+7z=5z+5}}} Combine like terms on the left side.



{{{7z=5z+5+14}}} Add {{{14}}} to both sides.



{{{7z-5z=5+14}}} Subtract {{{5z}}} from both sides.



{{{2z=5+14}}} Combine like terms on the left side.



{{{2z=19}}} Combine like terms on the right side.



{{{z=(19)/(2)}}} Divide both sides by {{{2}}} to isolate {{{z}}}.



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Answer:


So the solution is {{{z=19/2}}}