4(a+8)=9[a-(2-a)]

Solution for 4(a+8)=9[a-(2-a)] equation:

Simplifying
4(a + 8) = 9[a + -1(2 + -1a)]

Reorder the terms:
4(8 + a) = 9[a + -1(2 + -1a)]
(8 * 4 + a * 4) = 9[a + -1(2 + -1a)]
(32 + 4a) = 9[a + -1(2 + -1a)]
32 + 4a = 9[a + (2 * -1 + -1a * -1)]
32 + 4a = 9[a + (-2 + 1a)]

Reorder the terms:
32 + 4a = 9[-2 + a + 1a]

Combine like terms: a + 1a = 2a
32 + 4a = 9[-2 + 2a]
32 + 4a = [-2 * 9 + 2a * 9]
32 + 4a = [-18 + 18a]

Solving
32 + 4a = -18 + 18a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-18a' to each side of the equation.
32 + 4a + -18a = -18 + 18a + -18a

Combine like terms: 4a + -18a = -14a
32 + -14a = -18 + 18a + -18a

Combine like terms: 18a + -18a = 0
32 + -14a = -18 + 0
32 + -14a = -18

Add '-32' to each side of the equation.
32 + -32 + -14a = -18 + -32

Combine like terms: 32 + -32 = 0
0 + -14a = -18 + -32
-14a = -18 + -32

Combine like terms: -18 + -32 = -50
-14a = -50

Divide each side by '-14'.
a = 3.571428571

Simplifying
a = 3.571428571