Let's simplify the left side of the equation first:
(6z-2)(2z+3) - 3z(2z-7) = 12z^2 + 18z - 4z - 6 - 6z^2 + 21z = 6z^2 + 35z - 6z - 6 = 6z^2 + 29z - 6
Now, let's compare this to the right side of the equation (which is 29 + 6z^2):
6z^2 + 29z - 6 = 29 + 6z^2
Since the left side is equal to the right side, the equation is verified.
Let's simplify the left side of the equation first:
(6z-2)(2z+3) - 3z(2z-7)
= 12z^2 + 18z - 4z - 6 - 6z^2 + 21z
= 6z^2 + 35z - 6z - 6
= 6z^2 + 29z - 6
Now, let's compare this to the right side of the equation (which is 29 + 6z^2):
6z^2 + 29z - 6 = 29 + 6z^2
Since the left side is equal to the right side, the equation is verified.