Final answer:
To solve the equation 3w - 4z = 8 for w, add 4z to both sides and then divide by 3, resulting in the expression w = (4z + 8) / 3.
Step-by-step explanation:
The student's equation, 3w - 4z = 8, involves algebraic manipulation to solve for the variable w. To isolate w, we rearrange the equation to get w by itself on one side of the equation:
Add 4z to both sides to get: 3w = 4z + 8
Divide both sides by 3 to solve for w: w = (4z + 8) / 3
Now we have w expressed in terms of z. This is the solution for w assuming you have a specific value for z you can substitute into this expression.