b=b+4a+2c

Solution for b=b+4a+2c equation:

Simplifying
b = b + 4a + 2c

Reorder the terms:
b = 4a + b + 2c

Add '-1b' to each side of the equation.
b + -1b = 4a + b + -1b + 2c

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

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

Solving
0 = 4a + 2c

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
0 + -4a = 4a + -4a + 2c
Remove the zero:
-4a = 4a + -4a + 2c

Combine like terms: 4a + -4a = 0
-4a = 0 + 2c
-4a = 2c

Divide each side by '-4'.
a = -0.5c

Simplifying
a = -0.5c