(a+b)-(c+d)-(e-f)=

Solution for (a+b)-(c+d)-(e-f)= equation:

Simplifying
(a + b) + -1(c + d) + -1(e + -1f) = 0

Remove parenthesis around (a + b)
a + b + -1(c + d) + -1(e + -1f) = 0
a + b + (c * -1 + d * -1) + -1(e + -1f) = 0
a + b + (-1c + -1d) + -1(e + -1f) = 0
a + b + -1c + -1d + (e * -1 + -1f * -1) = 0
a + b + -1c + -1d + (-1e + 1f) = 0

Solving
a + b + -1c + -1d + -1e + 1f = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
a + b + -1c + -1d + -1e + -1b + 1f = 0 + -1b

Reorder the terms:
a + b + -1b + -1c + -1d + -1e + 1f = 0 + -1b

Combine like terms: b + -1b = 0
a + 0 + -1c + -1d + -1e + 1f = 0 + -1b
a + -1c + -1d + -1e + 1f = 0 + -1b
Remove the zero:
a + -1c + -1d + -1e + 1f = -1b

Add 'c' to each side of the equation.
a + -1c + -1d + -1e + c + 1f = -1b + c

Reorder the terms:
a + -1c + c + -1d + -1e + 1f = -1b + c

Combine like terms: -1c + c = 0
a + 0 + -1d + -1e + 1f = -1b + c
a + -1d + -1e + 1f = -1b + c

Add 'd' to each side of the equation.
a + -1d + -1e + d + 1f = -1b + c + d

Reorder the terms:
a + -1d + d + -1e + 1f = -1b + c + d

Combine like terms: -1d + d = 0
a + 0 + -1e + 1f = -1b + c + d
a + -1e + 1f = -1b + c + d

Add 'e' to each side of the equation.
a + -1e + e + 1f = -1b + c + d + e

Combine like terms: -1e + e = 0
a + 0 + 1f = -1b + c + d + e
a + 1f = -1b + c + d + e

Add '-1f' to each side of the equation.
a + 1f + -1f = -1b + c + d + e + -1f

Combine like terms: 1f + -1f = 0
a + 0 = -1b + c + d + e + -1f
a = -1b + c + d + e + -1f

Simplifying
a = -1b + c + d + e + -1f