Question 229039
{{{(4z+7)/5 = z+2}}} Start with the given equation.



{{{4z+7 = 5(z+2)}}} Multiply both sides by 5.



{{{4z+7=5z+10}}} Distribute.



{{{4z=5z+10-7}}} Subtract {{{7}}} from both sides.



{{{4z-5z=10-7}}} Subtract {{{5z}}} from both sides.



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



{{{-z=3}}} Combine like terms on the right side.



{{{z=(3)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{z}}}.



{{{z=-3}}} Reduce.



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Answer:


So the solution is {{{z=-3}}}