z+6=7z+4

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

Simplifying
z + 6 = 7z + 4

Reorder the terms:
6 + z = 7z + 4

Reorder the terms:
6 + z = 4 + 7z

Solving
6 + z = 4 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
6 + z + -7z = 4 + 7z + -7z

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

Combine like terms: 7z + -7z = 0
6 + -6z = 4 + 0
6 + -6z = 4

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

Combine like terms: 6 + -6 = 0
0 + -6z = 4 + -6
-6z = 4 + -6

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

Divide each side by '-6'.
z = 0.3333333333

Simplifying
z = 0.3333333333