Answer:
Step-by-step explanation:
-2(1/6a - 3/8) + 1/4(3 1/2a - 3/5)
= -2 * 1/6a + 2 * 3/8 + 1/4 * 7/2a + 1/4 * (-3/5)
Next, simplify each term individually:
-2 * 1/6a = -1/3a
2 * 3/8 = 6/8 = 3/4
1/4 * 7/2a = 7/8a
1/4 * (-3/5) = -3/20
Combining all the simplified terms:
-1/3a + 3/4 + 7/8a - 3/20
Now, combine like terms:
(-1/3a + 7/8a) + (3/4 - 3/20)
= (5/24a) + (15/20 - 3/20)
= 5/24a + 12/20
= 5/24a + 3/5
Therefore, the simplified expression is 5/24a + 3/5
