To find out the number of solutions in this equation, we begin by simplifying.
6z + 1 = 6z - 2
Now, we subtract 6z on both sides to isolate the variable:
(6z - 6z) + 1 = (6z - 6z) - 2
1 = -2
Because 1 ≠ -2, this equation has no solutions. 1 will never be equivalent to -2 without an inputted variable.