1. **State the problem:** We are given two equations: $$9s + 5t = 108$$ and $$s = t - 2$$. We need to find the value of $$t$$. 2. **Use substitution:** Since $$s = t - 2$$, substitute this into the first equation: $$9(t - 2) + 5t = 108$$ 3. **Expand and simplify:** $$9t - 18 + 5t = 108$$ Combine like terms: $$14t - 18 = 108$$ 4. **Isolate $$t$$:** Add 18 to both sides: $$14t - 18 + 18 = 108 + 18$$ $$14t = 126$$ 5. **Divide both sides by 14:** $$\frac{\cancel{14}t}{\cancel{14}} = \frac{126}{14}$$ $$t = 9$$ 6. **Final answer:** $$t = 9$$