Solve for: Q= 9/8 R+31

Expression: $Q=\frac{9}{8}R+31$

Switch sides

$\frac{9}{8}R+31=Q$

Subtract $31$ from both sides

$\frac{9}{8}R+31-31=Q-31$

Simplify

$\frac{9}{8}R=Q-31$

Multiply both sides by $8$

$8\cdot \frac{9}{8}R=8Q-8\cdot 31$

Simplify

$9R=8Q-248$

Divide both sides by $9$

$\frac{9R}{9}=\frac{8Q}{9}-\frac{248}{9}$

Simplify

$R=\frac{8Q-248}{9}$