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

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

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

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

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

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

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

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

Solving
-1b + -2c + d = 0

Solving for variable 'b'.

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

Add '2c' to each side of the equation.
-1b + -2c + 2c + d = 0 + 2c

Combine like terms: -2c + 2c = 0
-1b + 0 + d = 0 + 2c
-1b + d = 0 + 2c
Remove the zero:
-1b + d = 2c

Add '-1d' to each side of the equation.
-1b + d + -1d = 2c + -1d

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

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

Simplifying
b = -2c + d