2(4b+c-4a)-6(a-2c+6b)=

Solution for 2(4b+c-4a)-6(a-2c+6b)= equation:

Simplifying
2(4b + c + -4a) + -6(a + -2c + 6b) = 0

Reorder the terms:
2(-4a + 4b + c) + -6(a + -2c + 6b) = 0
(-4a * 2 + 4b * 2 + c * 2) + -6(a + -2c + 6b) = 0
(-8a + 8b + 2c) + -6(a + -2c + 6b) = 0

Reorder the terms:
-8a + 8b + 2c + -6(a + 6b + -2c) = 0
-8a + 8b + 2c + (a * -6 + 6b * -6 + -2c * -6) = 0
-8a + 8b + 2c + (-6a + -36b + 12c) = 0

Reorder the terms:
-8a + -6a + 8b + -36b + 2c + 12c = 0

Combine like terms: -8a + -6a = -14a
-14a + 8b + -36b + 2c + 12c = 0

Combine like terms: 8b + -36b = -28b
-14a + -28b + 2c + 12c = 0

Combine like terms: 2c + 12c = 14c
-14a + -28b + 14c = 0

Solving
-14a + -28b + 14c = 0

Solving for variable 'a'.

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

Add '28b' to each side of the equation.
-14a + -28b + 28b + 14c = 0 + 28b

Combine like terms: -28b + 28b = 0
-14a + 0 + 14c = 0 + 28b
-14a + 14c = 0 + 28b
Remove the zero:
-14a + 14c = 28b

Add '-14c' to each side of the equation.
-14a + 14c + -14c = 28b + -14c

Combine like terms: 14c + -14c = 0
-14a + 0 = 28b + -14c
-14a = 28b + -14c

Divide each side by '-14'.
a = -2b + c

Simplifying
a = -2b + c