To solve the equation \( 17 = 7w + e \) for \( w \), we need to isolate \( w \) on one side of the equation. Let's break this down step by step.
Step-by-Step Solution
We start with the equation:
17 = 7w + e
Our goal is to express \( w \) in terms of \( e \). To do this, we need to isolate \( w \). Here’s how we can achieve that:
1. Rearranging the Equation
First, we want to move \( e \) to the left side of the equation. We can do this by subtracting \( e \) from both sides:
17 - e = 7w
2. Isolating \( w \)
Now that we have \( 7w \) on one side, we can isolate \( w \) by dividing both sides of the equation by 7:
w = (17 - e) / 7
Final Expression
So, the solution for \( w \) in terms of \( e \) is:
w = (17 - e) / 7
This expression shows how \( w \) depends on the value of \( e \). If you have a specific value for \( e \), you can substitute it into this equation to find the corresponding value of \( w \).
Example Calculation
Let’s say \( e = 3 \). We can substitute this value into our equation:
w = (17 - 3) / 7
w = 14 / 7
w = 2
This example illustrates how you can find \( w \) for a specific value of \( e \). If you have any further questions or need clarification on any step, feel free to ask!