Final answer:
To solve for n in the literal equation a(n-2)+3=bn, divide both sides by (a - b) to get n = (2a - 3)/(a - b).
Step-by-step explanation:
To solve the literal equation a(n-2)+3=bn for n, we need to isolate the variable n. Let's start by distributing the a on the left side of the equation:
an - 2a + 3 = bn
Next, we can move all terms containing n to the left side and the constants to the right side:
an - bn = 2a - 3
Now, we can factor out n:
n(a - b) = 2a - 3
Finally, we divide both sides by (a - b) to solve for n:
n = (2a - 3)/(a - b)
And that's our solution for n.