How to Solve for n in the Equation 11n + 1 = 35 – 3n

To solve for n in the equation 11n + 1 = 35 – 3n, we need to isolate n. Here’s how we can do it step by step:

1. Move all terms involving n to one side: Start by adding 3n to both sides of the equation to eliminate n from the right side.
2. The equation becomes:

11n + 3n + 1 = 35

3. Combine like terms: This simplifies to:

14n + 1 = 35

4. Subtract 1 from both sides: Now the equation looks like this:

14n = 34

5. Divide both sides by 14: This gives:

n = 34 / 14

6. Simplify the fraction: When we simplify 34/14, we get:

n = 17 / 7

So, the solution to the equation is n = 17/7 or approximately 2.43.