â…™a - 8
Step-by-step explanation:
                        (⅓a - 5) - (⅙a + 3)
Distributive property: Â Â Â Â Â = â…“a - 5 - â…™a - 3
Associative property: Â Â Â Â Â = (â…“a - â…™a) - 5 Â - 3 Â
Simplification: Â Â Â Â Â Â Â Â Â Â Â = (â…“a - â…™a) - 8
Distributive property: Â Â Â Â Â = a(â…“ - â…™) - 8
LCM of denominators:     = a(²/₆ - ⅙) - 8
Subtract numerators: Â Â Â Â = a(â…™) -8
Commutative property: Â Â Â = â…™a - 8