Final answer:
The solution for z in the equation 5w+3z-8=w is z = (8 - 4w) / 3
Step-by-step explanation:
To solve the equation 5w+3z-8=w for z, we need to isolate the variable z on one side of the equation.
Here are the steps:
Move all terms containing z to one side of the equation:
5w - w = 8 - 3z
4w = 8 - 3z
Move the constant term to the other side of the equation:
4w + 3z = 8
Subtract 4w from both sides of the equation:
3z = 8 - 4w
Divide both sides of the equation by 3 to solve for z:
z = (8 - 4w) / 3
Therefore, the solution for z in the equation 5w+3z-8=w is z = (8 - 4w) / 3