7(a+9)=4[a-(6-a)]

Solution for 7(a+9)=4[a-(6-a)] equation:

Simplifying
7(a + 9) = 4[a + -1(6 + -1a)]

Reorder the terms:
7(9 + a) = 4[a + -1(6 + -1a)]
(9 * 7 + a * 7) = 4[a + -1(6 + -1a)]
(63 + 7a) = 4[a + -1(6 + -1a)]
63 + 7a = 4[a + (6 * -1 + -1a * -1)]
63 + 7a = 4[a + (-6 + 1a)]

Reorder the terms:
63 + 7a = 4[-6 + a + 1a]

Combine like terms: a + 1a = 2a
63 + 7a = 4[-6 + 2a]
63 + 7a = [-6 * 4 + 2a * 4]
63 + 7a = [-24 + 8a]

Solving
63 + 7a = -24 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
63 + 7a + -8a = -24 + 8a + -8a

Combine like terms: 7a + -8a = -1a
63 + -1a = -24 + 8a + -8a

Combine like terms: 8a + -8a = 0
63 + -1a = -24 + 0
63 + -1a = -24

Add '-63' to each side of the equation.
63 + -63 + -1a = -24 + -63

Combine like terms: 63 + -63 = 0
0 + -1a = -24 + -63
-1a = -24 + -63

Combine like terms: -24 + -63 = -87
-1a = -87

Divide each side by '-1'.
a = 87

Simplifying
a = 87