9(a+4)=5[a-(1-a)]

Solution for 9(a+4)=5[a-(1-a)] equation:

Simplifying
9(a + 4) = 5[a + -1(1 + -1a)]

Reorder the terms:
9(4 + a) = 5[a + -1(1 + -1a)]
(4 * 9 + a * 9) = 5[a + -1(1 + -1a)]
(36 + 9a) = 5[a + -1(1 + -1a)]
36 + 9a = 5[a + (1 * -1 + -1a * -1)]
36 + 9a = 5[a + (-1 + 1a)]

Reorder the terms:
36 + 9a = 5[-1 + a + 1a]

Combine like terms: a + 1a = 2a
36 + 9a = 5[-1 + 2a]
36 + 9a = [-1 * 5 + 2a * 5]
36 + 9a = [-5 + 10a]

Solving
36 + 9a = -5 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
36 + 9a + -10a = -5 + 10a + -10a

Combine like terms: 9a + -10a = -1a
36 + -1a = -5 + 10a + -10a

Combine like terms: 10a + -10a = 0
36 + -1a = -5 + 0
36 + -1a = -5

Add '-36' to each side of the equation.
36 + -36 + -1a = -5 + -36

Combine like terms: 36 + -36 = 0
0 + -1a = -5 + -36
-1a = -5 + -36

Combine like terms: -5 + -36 = -41
-1a = -41

Divide each side by '-1'.
a = 41

Simplifying
a = 41