Question 634464
{{{3(4z-1)+2(z+8)=2(z+1)}}} Start with the given equation.



{{{12z-3+2z+16=2z+2}}} Distribute.



{{{13+14z=2z+2}}} Combine like terms on the left side.



{{{14z=2z+2-13}}} Subtract {{{13}}} from both sides.



{{{14z-2z=2-13}}} Subtract {{{2z}}} from both sides.



{{{12z=2-13}}} Combine like terms on the left side.



{{{12z=-11}}} Combine like terms on the right side.



{{{z=(-11)/(12)}}} Divide both sides by {{{12}}} to isolate {{{z}}}.



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Answer:


So the solution is {{{z=-11/12}}}