Final answer:
To rearrange the given equation into the standard form Ax + By + Cz = D, move the '3z' term to the left side to get 2x + 6y + 3z = 1, where A = 2, B = 6, and C = 3.
Step-by-step explanation:
To rearrange the equation 2x + 6y = 1 - 3z into the form Ax + By + Cz = D, we need to isolate the z term on one side. The equation can be rewritten by adding 3z to both sides, resulting in:
2x + 6y + 3z = 1
Now it is in the desired format where A = 2, B = 6, C = 3, and D = 1. Remember, this type of problem involves basic algebraic manipulation and follows the general structure of a linear equation in three dimensions.