Answer
$\frac{29}{4}$.
Work Step by Step
Solve the equation: $\frac{z+7}{9}$+1=$\frac{2z+1}{6}$.
$\frac{z+7}{9}$+1=$\frac{2z+1}{6}$
Multiply both sides by 18.
2(z+7)+18=3(2z+1)
Distribute the 2 and the 3.
2z+14+18=6z+3
Combine like terms.
2z+32=6z+3
Subtract 6z from both sides.
-4z+32=3
Subtract 32 from both sides.
-4z=-29
Divide.
z=$\frac{29}{4}$
