So firstly, subtract both sides by 18b:
[tex]12b+53\geq -83[/tex]
Next, subtract both sides by 53:
[tex]12b\geq -136[/tex]
Next, divide both sides by 12:
[tex]b\geq -\frac{136}{12}\\\\-\frac{136}{12}\div \frac{4}{4}=-\frac{34}{3}=-11\frac{1}{3}\\\\b\geq -11\frac{1}{3}[/tex]
Your final answer is b ≥ -34/3 or b ≥ -11 1/3.