Option C: The solution is
Explanation:
The given expression is
We need to solution of the given expression.
The solution of the given expression can be determined by adding the two expressions.
Let us remove the parenthesis.
Thus, we have,
Adding the like terms, we have,
Thus, the solution is
Hence, Option C is the correct answer.
Given equation: A(n - 3) +8= bn.
Solution: On the left side of the equation we have A(n-3).
We don't have any sign in between A and parenthesis (n-3).
So, we need to multiply A and (n-3).
We need to apply distributive property to multiply A and (n-3).
Distributing A over (n-3), we get
A(n-3) = A*n - 3*A = An -3A.
Substituting this value in original equation,
An -3A +8= bn.
We need to solve it for n, so we get n terms on a side.
We have An on left side, we need to get rid n from left side.
Subtracting An from both sides, we get
An -3A +8-An= bn-An.
-3A +8 = bn - An.
We can see n is a common factor on rigth side in bn-an.
Factoring out n on right side from bn-an.
-3A +8 = (b - A)n.
Dividing both sides by (b-A),
On right (b-A) paranthiss cancelled and we get n on right side.
Final answer.
So, that would be our final answer
n = (-3A+8)/(b-A)
