6(z-7)=z

Solution for 6(z-7)=z equation:

Simplifying
6(z + -7) = z

Reorder the terms:
6(-7 + z) = z
(-7 * 6 + z * 6) = z
(-42 + 6z) = z

Solving
-42 + 6z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-42 + 6z + -1z = z + -1z

Combine like terms: 6z + -1z = 5z
-42 + 5z = z + -1z

Combine like terms: z + -1z = 0
-42 + 5z = 0

Add '42' to each side of the equation.
-42 + 42 + 5z = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 5z = 0 + 42
5z = 0 + 42

Combine like terms: 0 + 42 = 42
5z = 42

Divide each side by '5'.
z = 8.4

Simplifying
z = 8.4