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Solve for n in literal equation a(n-2)+3=bn
N= ?

2 Answers

5 votes

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.

User Sanal S
by
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a(n - 2) + 3 = bn
an - 2n + 3 = bn
an - bn - 2n = -3
n(a - b - 2) = -3

n = -3 / (a - b - 2) Answer
User Brickingup
by
8.7k points

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