-3(3+-55(-a-3)-7)=[(5-a)-7-8]

Solution for -3(3+-55(-a-3)-7)=[(5-a)-7-8] equation:

Simplifying
-3(3 + -55(-1a + -3) + -7) = [(5 + -1a) + -7 + -8]

Reorder the terms:
-3(3 + -55(-3 + -1a) + -7) = [(5 + -1a) + -7 + -8]
-3(3 + (-3 * -55 + -1a * -55) + -7) = [(5 + -1a) + -7 + -8]
-3(3 + (165 + 55a) + -7) = [(5 + -1a) + -7 + -8]

Reorder the terms:
-3(3 + 165 + -7 + 55a) = [(5 + -1a) + -7 + -8]

Combine like terms: 3 + 165 = 168
-3(168 + -7 + 55a) = [(5 + -1a) + -7 + -8]

Combine like terms: 168 + -7 = 161
-3(161 + 55a) = [(5 + -1a) + -7 + -8]
(161 * -3 + 55a * -3) = [(5 + -1a) + -7 + -8]
(-483 + -165a) = [(5 + -1a) + -7 + -8]

Remove parenthesis around (5 + -1a)
-483 + -165a = [5 + -1a + -7 + -8]

Reorder the terms:
-483 + -165a = [5 + -7 + -8 + -1a]

Combine like terms: 5 + -7 = -2
-483 + -165a = [-2 + -8 + -1a]

Combine like terms: -2 + -8 = -10
-483 + -165a = [-10 + -1a]

Remove brackets around [-10 + -1a]
-483 + -165a = -10 + -1a

Solving
-483 + -165a = -10 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-483 + -165a + a = -10 + -1a + a

Combine like terms: -165a + a = -164a
-483 + -164a = -10 + -1a + a

Combine like terms: -1a + a = 0
-483 + -164a = -10 + 0
-483 + -164a = -10

Add '483' to each side of the equation.
-483 + 483 + -164a = -10 + 483

Combine like terms: -483 + 483 = 0
0 + -164a = -10 + 483
-164a = -10 + 483

Combine like terms: -10 + 483 = 473
-164a = 473

Divide each side by '-164'.
a = -2.884146341

Simplifying
a = -2.884146341