Final answer:
To simplify the linear expression, we find a common denominator and combine like terms.
Step-by-step explanation:
To simplify the linear expression -5/8a /23 - 1/4a - 5/6, we can begin by finding common denominators. The common denominator for 8a, 23, 4a, and 6 is 8a * 23 * 4a * 6. We can then rewrite the expression using the common denominator and combine like terms.
-5/8a /23 - 1/4a - 5/6 = ((-5/8a) * (4a * 6)) / (23 * (4a * 6)) - ((23 * 4a) / (23 * 4a)) - ((5 * (8a * 23)) / (23 * 4a * 6))
After simplifying, the expression becomes (-120 / (23 * 24a^2)) - 1 - (920a / (23 * 24a^2)).
Now, combine like terms (-120 / (23 * 24a^2)) - 1 - (920a / (23 * 24a^2)) = (-120 - 23 * 24a^2 - 920a) / (23 * 24a^2).