Simplifying the given equation
To simplify the given equation a+2d/a = a+6d/a+2d, we need to first understand the concept of fractions and how to simplify expressions involving fractions.

Understanding the given equation
The equation contains fractions with variables a and d. In order to simplify it, we need to find a common denominator for the fractions on both sides of the equation.

Simplification process
1. Find a common denominator for the fractions on both sides of the equation.
2. Multiply the numerators and denominators to eliminate the fractions.
3. Simplify the resulting expression by combining like terms.

Final simplified equation
After following the steps mentioned above, the equation can be simplified to a+2d = a+6d+2d.
By simplifying the given equation, we have eliminated the fractions and reduced it to a simpler form that is easier to work with and understand. This process is essential in solving algebraic equations and expressions efficiently.