Question 338886
{{{-(2z-(5z+2))=2+(2z+7)}}} Start with the given equation.



{{{-2z+(5z+2)=2+(2z+7)}}} Distribute the negative.



{{{-2z+5z+2=2+2z+7}}} Remove any unnecessary parenthesis.



{{{2+3z=2+2z+7}}} Combine like terms on the left side.



{{{2+3z=2z+9}}} Combine like terms on the right side.



{{{3z=2z+9-2}}} Subtract {{{2}}} from both sides.



{{{3z-2z=9-2}}} Subtract {{{2z}}} from both sides.



{{{z=9-2}}} Combine like terms on the left side.



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



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Answer:


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



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