Solve for z: 4z + 6 = 14.

To solve the equation ( 4z + 6 = 14 ), the first step is to isolate the term with ( z ) on one side. This can be done by subtracting 6 from both sides of the equation. Doing so gives us:

[

4z + 6 - 6 = 14 - 6

]

[

4z = 8

]

Next, to solve for ( z ), divide both sides of the equation by 4:

[

z = \frac{8}{4}

]

[

z = 2

]

Thus, the solution to the equation is ( z = 2 ). This result is significant as it directly corresponds to the choice that was indicated as the answer. Understanding the steps taken to isolate ( z ) reinforces the process of solving linear equations, which is foundational in algebra.