. 3(a - 2) – 4(2a - 3)

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