What is the solution for z in the equation z/6 + 2 = 5?

To solve the equation ( z/6 + 2 = 5 ), the first step is to isolate the term containing ( z ). This can be accomplished by subtracting ( 2 ) from both sides of the equation:

[

z/6 + 2 - 2 = 5 - 2

]

This simplifies to:

[

z/6 = 3

]

Next, to eliminate the fraction, multiply both sides of the equation by ( 6 ):

[

z/6 \times 6 = 3 \times 6

]

This results in:

[

z = 18

]

Thus, the correct solution for ( z ) is ( 18 ).

Understanding this process highlights the importance of isolating the variable step by step. Often, students might incorrectly compute or fail to isolate the variable effectively, leading to different results. By following systematic steps to simplify the equation, the solution becomes clear.