Answer: Yes
Step-by-step explanation: Here, we want to decide
if 2 is a solution for the equation 4n - 3 = -2n + 9.
We can do this by simply plugging in 2 for n.
If the statement holds true, then 2 is a solution.
Plugging in 2 for n, we have 4(2) - 3 = -2(2) + 9.
Remember that a negative times a positive is a negative.
So we have 8 - 3 = -4 + 9.
Simplifying further, we have 5 = 5.
Notice that 5 = 5 is a true statement.
So yes, 2 is a solution for the equation 4n - 3 = -2n + 9.