Final answer:
To solve the equation (9z-7)/(3) + (18)/(6) = (18z+7)/(6), we isolate the variable z by combining like terms and simplifying. The value of z is -7/6.
Step-by-step explanation:
To find the value of z, we need to solve the given equation:
(9z-7)/(3) + (18)/(6) = (18z+7)/(6)
We can start by simplifying the equation:
2z - 7/3 + 3 = 3z + 7/6
Next, we can combine like terms:
2z - 21/3 = 3z + 7/6
Further simplifying:
2z - 7 = 3z + 7/6
Now, let's isolate the variable z:
2z - 7 - 3z = 3z + 7/6 - 3z
-z = 7/6
Multiplying both sides by -1:
z = -7/6
Therefore, the value of z is -7/6.