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

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

Simplifying
4z + 6 + -1z = 7 + 2z + -4

Reorder the terms:
6 + 4z + -1z = 7 + 2z + -4

Combine like terms: 4z + -1z = 3z
6 + 3z = 7 + 2z + -4

Reorder the terms:
6 + 3z = 7 + -4 + 2z

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

Solving
6 + 3z = 3 + 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.
6 + 3z + -2z = 3 + 2z + -2z

Combine like terms: 3z + -2z = 1z
6 + 1z = 3 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 1z = 3 + 0
6 + 1z = 3

Add '-6' to each side of the equation.
6 + -6 + 1z = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 3 + -6
1z = 3 + -6

Combine like terms: 3 + -6 = -3
1z = -3

Divide each side by '1'.
z = -3

Simplifying
z = -3