1. **State the problem:** Simplify the expression $$\frac{2a - 3b5'}{(2a - 1b)3}$$. 2. **Interpret the expression:** The numerator is $$2a - 3b5'$$ and the denominator is $$(2a - 1b)3$$. 3. **Clarify notation:** The term $$3b5'$$ likely means $$3 \times b \times 5$$, and $$1b$$ means $$1 \times b$$. The prime symbol $$'$$ is interpreted as multiplication by 5. 4. **Rewrite numerator:** $$2a - 3b5' = 2a - 3 \times b \times 5 = 2a - 15b$$. 5. **Rewrite denominator:** $$(2a - 1b)3 = (2a - b) \times 3 = 3(2a - b)$$. 6. **Rewrite the fraction:** $$\frac{2a - 15b}{3(2a - b)}$$. 7. **Check for common factors:** No common factors between numerator and denominator terms. 8. **Final simplified form:** $$\frac{2a - 15b}{3(2a - b)}$$. This is the simplified expression.