Answer:
a = 0.5454545455
Step-by-step explanation:
Simplifying
3(a + 2) + 4(2a + -3) = 0
Reorder the terms:
3(2 + a) + 4(2a + -3) = 0
(2 * 3 + a * 3) + 4(2a + -3) = 0
(6 + 3a) + 4(2a + -3) = 0
Reorder the terms:
6 + 3a + 4(-3 + 2a) = 0
6 + 3a + (-3 * 4 + 2a * 4) = 0
6 + 3a + (-12 + 8a) = 0
Reorder the terms:
6 + -12 + 3a + 8a = 0
Combine like terms: 6 + -12 = -6
-6 + 3a + 8a = 0
Combine like terms: 3a + 8a = 11a
-6 + 11a = 0
Solving
-6 + 11a = 0
