3z-7z=-2z-6+4z

Solution for 3z-7z=-2z-6+4z equation:

Simplifying
3z + -7z = -2z + -6 + 4z

Combine like terms: 3z + -7z = -4z
-4z = -2z + -6 + 4z

Reorder the terms:
-4z = -6 + -2z + 4z

Combine like terms: -2z + 4z = 2z
-4z = -6 + 2z

Solving
-4z = -6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-4z + -2z = -6 + 2z + -2z

Combine like terms: -4z + -2z = -6z
-6z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0
-6z = -6 + 0
-6z = -6

Divide each side by '-6'.
z = 1

Simplifying
z = 1