-[-(a-2b)-(a+2b)-(-a-3b)]=

Solution for -[-(a-2b)-(a+2b)-(-a-3b)]= equation:

Simplifying
-1[-1(a + -2b) + -1(a + 2b) + -1(-1a + -3b)] = 0
-1[(a * -1 + -2b * -1) + -1(a + 2b) + -1(-1a + -3b)] = 0
-1[(-1a + 2b) + -1(a + 2b) + -1(-1a + -3b)] = 0
-1[-1a + 2b + (a * -1 + 2b * -1) + -1(-1a + -3b)] = 0
-1[-1a + 2b + (-1a + -2b) + -1(-1a + -3b)] = 0
-1[-1a + 2b + -1a + -2b + (-1a * -1 + -3b * -1)] = 0
-1[-1a + 2b + -1a + -2b + (1a + 3b)] = 0

Reorder the terms:
-1[-1a + -1a + 1a + 2b + -2b + 3b] = 0

Combine like terms: -1a + -1a = -2a
-1[-2a + 1a + 2b + -2b + 3b] = 0

Combine like terms: -2a + 1a = -1a
-1[-1a + 2b + -2b + 3b] = 0

Combine like terms: 2b + -2b = 0
-1[-1a + 0 + 3b] = 0
-1[-1a + 3b] = 0
[-1a * -1 + 3b * -1] = 0
[1a + -3b] = 0

Solving
1a + -3b = 0

Solving for variable 'a'.

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

Add '3b' to each side of the equation.
1a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
1a + 0 = 0 + 3b
1a = 0 + 3b
Remove the zero:
1a = 3b

Divide each side by '1'.
a = 3b

Simplifying
a = 3b