2-a-(-b)+c+(-a)-b-(-c)=0

Solution for 2-a-(-b)+c+(-a)-b-(-c)=0 equation:

Simplifying
2 + -1a + -1(-1b) + c + (-1a) + -1b + -1(-1c) = 0

Remove parenthesis around (-1b)
2 + -1a + -1 * -1b + c + (-1a) + -1b + -1(-1c) = 0

Multiply -1 * -1
2 + -1a + 1b + c + (-1a) + -1b + -1(-1c) = 0

Remove parenthesis around (-1c)
2 + -1a + 1b + c + (-1a) + -1b + -1 * -1c = 0

Multiply -1 * -1
2 + -1a + 1b + c + (-1a) + -1b + 1c = 0

Reorder the terms:
2 + -1a + (-1a) + 1b + -1b + c + 1c = 0

Combine like terms: -1a + (-1a) = -2a
2 + -2a + 1b + -1b + c + 1c = 0

Combine like terms: 1b + -1b = 0
2 + -2a + 0 + c + 1c = 0
2 + -2a + c + 1c = 0

Combine like terms: c + 1c = 2c
2 + -2a + 2c = 0

Solving
2 + -2a + 2c = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2a + -2 + 2c = 0 + -2

Reorder the terms:
2 + -2 + -2a + 2c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2a + 2c = 0 + -2
-2a + 2c = 0 + -2

Combine like terms: 0 + -2 = -2
-2a + 2c = -2

Add '-2c' to each side of the equation.
-2a + 2c + -2c = -2 + -2c

Combine like terms: 2c + -2c = 0
-2a + 0 = -2 + -2c
-2a = -2 + -2c

Divide each side by '-2'.
a = 1 + c

Simplifying
a = 1 + c