Final answer:
To create an equivalent expression by combining like terms, we multiply the coefficients and add or subtract the resulting terms as per the operations. The expressions are simplified as much as possible without additional information about n.
Step-by-step explanation:
To combine like terms and create an equivalent expression, we should multiply the coefficients and add or subtract the resulting terms based on the operations given. For the given choices, we will first execute the multiplication (1/7) and (-9/7n or 9/7n) and then handle the addition or subtraction of 6/7. Let's go through them one by one.
- a) 1/7 multiplied by -9/7n becomes -9/49n, and then we add 6/7, resulting in -9/49n + 6/7.
- b) 1/7 multiplied by -9/7n becomes -9/49n, and then we subtract 6/7, resulting in -9/49n - 6/7.
- c) 1/7 multiplied by 9/7n becomes 9/49n, and then we subtract 6/7, resulting in 9/49n - 6/7.
- d) 1/7 multiplied by 9/7n becomes 9/49n, and then we add 6/7, resulting in 9/49n + 6/7.
The next step will be to simplify the expressions if possible, but it seems no further simplification can be done unless we have additional information about n. If n is a given number, we can multiply it by the coefficient to get the final value.