Final answer:
The question asks to substitute specific values into an algebraic equation, simplify it, and determine the number of solutions. Without the exact equation, we can only outline the process involving substitution and simplification. The given blanks would be filled in after these steps to reveal whether the equation has a specific number of solutions.
Step-by-step explanation:
The given question seems to involve substituting given values into an algebraic expression and simplifying it to determine if the equation is true and how many solutions it has. Let's start with the substitution:
- Substitute 18 for 'a' and -13 for 'b'
- Substitute 18 for 'A' and -13 for 'B'
Since the specific equation is not provided, we must assume a general process. After substitution, we simplify the expression. The correct simplification for the left side should be one of the provided options (6x-1), (6x-7), (18x-13), (18x-15).
The final simplified form will help us to see whether the equation is true for any number or not. The options for the final simplified equation are (-13=-13), (-15=-13), (x=0.5), (x=1). Depending on this, we can determine if the equation is true for one, all, or none of the numbers, which in turn tells us whether the equation has none, one, or infinitely many solutions.