A-(b+c-4)+(a+c+2)=

Solution for A-(b+c-4)+(a+c+2)= equation:

Simplifying
A + -1(b + c + -4) + (a + c + 2) = 0

Reorder the terms:
A + -1(-4 + b + c) + (a + c + 2) = 0
A + (-4 * -1 + b * -1 + c * -1) + (a + c + 2) = 0
A + (4 + -1b + -1c) + (a + c + 2) = 0

Reorder the terms:
A + 4 + -1b + -1c + (2 + a + c) = 0

Remove parenthesis around (2 + a + c)
A + 4 + -1b + -1c + 2 + a + c = 0

Reorder the terms:
4 + 2 + A + a + -1b + -1c + c = 0

Combine like terms: 4 + 2 = 6
6 + A + a + -1b + -1c + c = 0

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

Solving
6 + A + a + -1b = 0

Solving for variable 'A'.

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

Add '-6' to each side of the equation.
6 + A + a + -6 + -1b = 0 + -6

Reorder the terms:
6 + -6 + A + a + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + A + a + -1b = 0 + -6
A + a + -1b = 0 + -6

Combine like terms: 0 + -6 = -6
A + a + -1b = -6

Add '-1a' to each side of the equation.
A + a + -1a + -1b = -6 + -1a

Combine like terms: a + -1a = 0
A + 0 + -1b = -6 + -1a
A + -1b = -6 + -1a

Add 'b' to each side of the equation.
A + -1b + b = -6 + -1a + b

Combine like terms: -1b + b = 0
A + 0 = -6 + -1a + b
A = -6 + -1a + b

Simplifying
A = -6 + -1a + b