-2b+ac=c-6

Solution for -2b+ac=c-6 equation:

Simplifying
-2b + ac = c + -6

Reorder the terms:
ac + -2b = c + -6

Reorder the terms:
ac + -2b = -6 + c

Solving
ac + -2b = -6 + c

Solving for variable 'a'.

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

Add '2b' to each side of the equation.
ac + -2b + 2b = -6 + 2b + c

Combine like terms: -2b + 2b = 0
ac + 0 = -6 + 2b + c
ac = -6 + 2b + c

Divide each side by 'c'.
a = -6c-1 + 2bc-1 + 1

Simplifying
a = -6c-1 + 2bc-1 + 1

Reorder the terms:
a = 1 + 2bc-1 + -6c-1